In addition to the suggestion on how to turn off root, you may want to also explicitly allow only certain users.
AllowUsers username
To even tighten it down even more.
You wouldn't believe the number of attempts I get on my DSL line to login.
Alternatively, changing the port, and/or requiring ssh keys for authentication are excellent at eliminating this type of junk.
For the few of you who are reading this and too lazy to type ssh -p XXX hostname, ~/.ssh/config is EXCELLENT for this. add/create a file with an entry like:
Host somename Hostname FQDN.here Port XXX
then you'll be able to do 'ssh somename' and it'll work.
-- Jim Perrin System Architect - UIT Ft Gordon & US Army Signal Center