Hi Stereoguy,
That is a kind of hard to answer simply question.
Power consumption is indeed one indicator between other ones too.
There are so many variables that you have to take into account.
I'm not sure where to start. But I'll start and hopefully others will chime in.
1. Ok, your Pioneer 56 is rated at 600 watts with two big caps at 27,000uF, that's quite a good rating.
2. Now, the Denon 3806 (I own the 3805, same rating) is rated at 7.1 amps.
anf the two caps are 15,000uF each. Now, according to the experts here at Audioholics, 7.1 amps is about 850 watts (120 x 7.1). Hmmm... That seems to be too much from my own perspective, but what do I know.
3. Finally, the Marantz 8001 is rated at 780 watts, which again seems like a lot.
I believe the 8001 uses a toroid, but I'm not sure about it's capacitance, my guess is that it is about 20,000uF per cap.
4. I will add to this equation another receiver that I own, the Yamaha RX-V2092, which is rated at 500 watts and 640 Va (Variac), and the two caps are rated at 22,000uF each.
5. Last one now , honestly, my Onkyo TX-SR805, which is rated at 9.5 amps and the two caps are 15,000uF each. So, if we use the same formula as the Denon, we got (120 x 9.5) = 1,140 watts. Wow! That's quite a jump here.
Ok, let's begin the fun, by calling their weight now, and adding PC watts and total uF.
1. Pioneer 56 = 44.8 lbs (believe to be true net weight).........600 watts / 54,000uF
2. Denon 3806 = 38.6 lbs (inflated weight by approx. 3.5 lbs)..850 watts / 30,000uF
3. Marants 8001 = 33.1 lbs (believe to be true net weight).....780 watts / 40,000uF*
4. Yamaha 2092 = 44.1 lbs (true net weight).......................500 watts / 44,000uF
5. Onkyo 805 = 50.9 lbs (true net weight)........................1,140 watts / 30,000uF
* To be determined (40,000uF)
>> And only the Yamaha 2092 has a rating of 640 va (Variac), kind of related to the size of the transformer. Also to be determined by the experts (us or them?).
Now, let's look at the most watts vs. the less (1,140 vs. 500), Onkyo vs. Yamaha!
Seems very odd to me, the Onkyo more than twice the Yamaha! Is this makes sense?
And then your Pioneer is next after the Yamaha with 600 watts, but the Onkyo is still almost twice as much! But then, look at the total capacitance, 30,000uF Onkyo vs.
54,000uF Pioneer. Now the Pioneer is almost twice the Onkyo on total capacitance!
What a funny game, isn't? And then, we got the Denon with the same total capacitance as the Onkyo, 30,000uF. But the Denon is rated at 850 watts, less than the Onkyo by about 300 watts. And finally the Marantz with 780 watts, about 70 watts less than the Denon. * But I wish to know it's exact total capacitance.
I'll do some searching, and see what I can come up with...
Oh, and stick around, next are the bench tests.

Hi ha... And I'm pretty much well cover there, with 2-channel (8 & 4 ohms), 5-channel, 7-channel, THD, SNR, FR, and more...
And then, the internal parts; DSPs, how many, the brands and #s, DACs, ADCs, how many, the brands and #s, and much more... Burr-Brown, wolfson, Crystal, Analog Devices, Texas Instruments, Cirrus Logic, ... Video processors, brands, how good (if you're interested, of course, if not, we'll pass on top of it, no sweat).
Ok, I'll submit this reply for now, and we can continue further as more info comes in,
or from us or from other members... That should be quite interesting.
Enjoy it so far Strereoguy?
And Happy Independence Day.
Bob