What is dumbledore wand?

The only wand we know Dumbledore to own in the books is the Elder's Wand, although it is reasonable to assume that he had a wand previously as he was able to defeat someone to get the wand (not going to say who). If you ignore the end of the sixth book and the entire of the seventh book, Dumbledore still has the Elder's Wand's allegiance, and as the Elder's Wand is the most powerful wand in the wizarding world, Dumbledore's wand would be much more powerful than Harry's.

It is suggested in the books that the wands themselves don't actually differ in power (excluding the Elder's Wand of course), but the power actually lies with the wizard or witch controlling them. So if Dumbledore didn't own the Elder's Wand, both his and Harry's wands would probably be the same in power.