Temp...
Ya know, really you guys all have a point and the main point is.... There really is no specific point. I recently went snorkeling in the barrier reefs off Grand Cayman Island, Honduras, and Belize. All water temperatures were about the same +/- 1* F. Either 84*F or 85*F and the corals did not really mind either, there were many types. I wont go in to them all, but main corals were brain corals (IE: Favias) Sea Fans / Gorgonians and various other types of harder corals. Most of the indonesian corals most SPS, clams, acans, and super cool pieces are from waters at a minimum of 83*F+.
So the question remains... At what temperature should your tank be? I think Detane hit it right on the nose. It just depends upon where your specimens are from. The reason people say 78* is actually because, I believe I read that it is the average temperature of the ocean in the "Tropics" region. Where that is correct or not goes without saying.
What you don't want to do, and I think Detane hit this point as well, is... You don't want your temperature to jump significantly between night and day. Having a heater and a chiller prevents this from happening. If you look at the average temperature of the oceans where reefs occur. They have steadily been on the rise. They have only risen about 2.5*F over the last 10,000 years, but in universe time that is the blink of an eye.... So you can imagine what fluctuation from 76*F to 82*F in a 24hr period does to corals in your closed system. Just my 2-cents.
One small note, also to remember... This is especially for SPS corals, if they start bleaching at the bottom that doesn't necessarily mean they are dying. Most people don't realize, but corals in the wild bleach out and then re-grow from the tips all the time. That is how they create the reef in which they ultimately live on.