Read up on power inlet filtering, or power conditioning devices.
"Hum," in my mind, is smooth sine-wave interference, generally at 60Hz (or the line frequency in your area, probably 50Hz).
"Power line buzz" is more like what you describe: additional frequencies above the nominal line frequency, which could extend up into the MHz range. It is generally caused by appliances, motors, or light dimmers connected to the building wiring. The extra hash on the line is a result of some kind of rectification and/or switching, and the electrical noise gets spewed back onto the building line wiring.
This is sometimes a reason why you'll notice an amp be more buzzy in certain buildings, or when your fridge compressor kicks on. Some equipment uses a line filter to help reduce that hash before the line current is applied to the power transformer. Such filters can be simple or very elaborate.
If you contemplate rigging a home-made line filter, be cautious in the type of caps you use. Line filters use class X and/or class Y caps. Class X caps are intended to cross between the live and neutral lines of your power cord, class Y caps are intended to run from live or neutral to the ground wire. Each is designed to fail safely; caps often fail by shorting, but these types fail by opening, which prevents a hazard situation.
Purpose-designed line filter often include chokes as well as caps.