Google is really throwing around with Gmail invites. I thought you actually had to use your account before you would get some invites. All I did was send a mail to myself, forward a few mails to my gmail account and played a bit with the labeling system and search functions. This was all a few days ago when I registered for my account. This, not using my account, resulted in 6 invites today.
If you are interested in a Gmail you can always leave a message, but I'm first going to ask around and see if friends and familly are interested.
I'm still not sure what I'm going to do with my account though. Maybe I'll use it as an online archive. But I'll have to find a way to automatically forward incoming mail (thunderbird) to my Gmail.