You are supposed to use the right wiring with those power supplies. A regular NEMA 5-15 socket is rated for 15A at 125V which gives you 1875W. However if constantly used at maximum current it may still overheat and catch fire. So you should try to fit inn a NEMA 5-20 socket and plug which are rated for higher currents. You could also fit a NEMA 6-15 socket which is rated at 15A at 250V giving you double the wattage. Similarly the European Schuko plug is rated at 16A at 250V.

So basically you can install a computer with a 1600 W power supply if you have the house wiring for it. And it is not out of the range of power usage for domestic appliances. But you should be worried about putting it on a light circuit which are typically lower rated. There is nothing actively limiting the amount of power an appliance can draw from a circuit. This is what the fuse board is for which will cut the power to any circuit where you draw too much current. If you circumvent the fuse the wires and sockets may not be rated for the current that goes through them and they can get hot and eventually catch fire.