I use a hyper 212 evo with a 7700k and my temps are fine, I never exceed 75c during stress tests and about 60-65c in games. At 4.6ghz 1.2v vcore. The 7700 would likely be slightly cooler due to lower base and boost clocks. The stock intel cooler is really not very good, im not sure how well it will do cooling the 7700. If you can get something like the cryorig h7 or hyper 212 it wouldn't be a bad idea.