Correctly labeled as a succulent; all cacti are succulents (but not all succulents are cacti :)...looks like one of the opuntias to me. Watch the glochids, they could be nasty.

Do not touch those pretty little yellow puffs, is that what Rina calls glochids? I have a memory when I was very young "feeling" of one, I've stayed away from them since

It's Opuntia microdasys, also call Bunny ear cactus. As already pointed, don't pet them...