Question My intel core i7-4770 is running at 80°C when gaming. Is there a problem?

Mar 3, 2019
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So I am using an intel core i7-4770 and temps are really high.
Idle temps are 40-55°C
Load temps are 79-83°C
Prime 95 temps are 86-90°C
So my question is, is this too high and if so what should I do.
I reaplied thermal paste a few days ago and I have a TaiSol 12VDC Ball Bearing CPU cooler.

Rest of the system:
16 Gb ddr3 ram
Gtx 1060 6G
240 Gb SSD
1 Tb HDD
500W PSU
Thanks for any help!
 
There lots of good coolers out there but i would recommend one that have more fan power that will cool down your cpu alot more but anything cheap not worth it. The coolers i like are the be quiet ones Or you could go with hyper 212 Evo
Thanks the 212 Evo is a bit expensive for my budget, what do you think about the DeepCool Gammax 300 or 400 ?