Notebooks are NOT designed for gaming...at ALL. The same price that you might get for a decent notebook, you can get a fantastic PC. 800Euros is about $1000, for which you can build an above average PC. Notebooks/laptops get outdated and you'll have to buy a new one if you want to keep up with newer games, in a PC, you can always upgrade buying only the necessary parts.
PC might have PSUs of upward to 800-1000W, but that doesn't mean they use that much all the time, only when you decide to play 5 games at the same time in windowed mode is that ever the problem. IF you can even get 5 games to run on windowed mode at the same time running.