So this sound system will be playing background music? If so, then I'm guessing it will be played at low levels, so theoretically I guess a single receiver might be able to, but you'd probably need a very good receiver in order to get an amp section that is robust enough to not worry about leaving it on and driving all those speakers for long periods of time.
I have a little bit of experience trying to fill a big space with sound, my family has owned a bowling alley for about 60 years and been in the business longer than that. I wouldn't want to try to fill that space with just a receiver, but then again we play at higher levels than you will probably have going.
As long as my assumptions are correct, you'll need a good quality receiver to leave on for long periods of time, so yamaha, denon, marantz and then a good quality amp. Outlaw makes good amps that won't break the bank, or you could go pro amp like a crown or peavey.