I recently got an i7 9700k with bequiet Pure rock cooler. I'm running my computer in a room of 30°C ambiant. At web browsing I'm running between 50°C-60°C and max of 80 at gaming. Is my cpu running hot?
No, the Intel series are typically recommended to stay below 85 degrees, ideally at 80 degrees or below.
Remember that your ambient temperatures are a big factor, for every degree you are over normal ambient temperatures, you'll be a degree hotter under load.
So when your room is 20 degrees, you will likely find the CPU temp will drop to 70 degrees or similar under heavier loads.
Computronix does an excellent guide for Intel temperatures here, but at the basis of it: