rnaeye – welcome to Audioholics.
I'd be surprised if your Yamaha's amplifier sections were not class A/B. Most solid state audio amplifiers that are built into receivers are class A/B. Some more recent models have class D or G amps, but you can tell by their lighter weight and smaller size.
I don't know of any solid state amplifiers or receivers that are class A. I might be wrong about that, but it would be a rare bird. Is there a specific reason why you want to know? Or are you just curious?
By the way, your
Yamaha RX-777 is a multi-channel Audio/Video receiver – a pretty decent one. Like all AVRs, it has built-in digital multi-channel processing (such as Dolby or DTX in movies), digital to analog conversion, AM/FM reception, and multiple amplifier channels (7 in this model). In audio, the term 'integrated stereo amplifier' means a 2-channel only device that lacks multi-channel digital processing and has no AM/FM radio reception.