Would you sell your website?

Obviously I couldn't sell this one even if I wanted too because technically I don't own it. I do own two of my own websites though. I can't imagine selling them however I could see why some people do. They have really popular sites or the name of their site is something that people really want. I'm not talking about just blogs either, I mean regular websites as well.

What would you do if someone offered you money for your website? Would you sell it, think about it then sell it or just outright turn down the offer?