Is there any way to search for a village, quickly, using its number? (This would apply to other worlds too I asume)

If you are on the map there is the button "Map filtering" in the right corner.
Push this button and then click at the magnifying glass in the Map filtering menu.
An other window will open and you can search for Village Names and ID.

Searching for villages using their ID number only works if you have the "View Village ID" box ticked in the advanced settings. Click on settings in the top right, then click on settings in the options. In the "Advanced Options" tick the "View Village ID" box then click "Apply".

http://prntscr.com/en8urk

My bad
Of course you must activate the village ID number first.