Nuking the moon?

In class last week, someone asked a question about whether there are enough nuclear weapons to destroy the moon.  For comparison of size, here is a NASA image (distances not to scale obviously):
 

In class we talked about how there are not enough nuclear weapons to destroy the earth, and similarly there are not enough to "destroy" the moon (certainly not enough to blow it up, and probably also not enough to make a mess of the whole surface either).  Are there enough to knock the moon out of orbit?  No, not that either (here's an article on that idea).  

In the 1950s there was apparently a project within the U.S. military to consider the idea of detonating one nuclear weapon on the moon.  This would have been an experiment to test out the idea of space-based warfare, as well as a demonstration project to show our military capabilities to the Soviet enemy.  But thankfully the project was dropped.  Here's a CNN blog posting on the top-secret plan.