Yes, that is the model number.
It tells us that it is a Seagate Barracuda 7200.7 SATA NCQ
http://www.seagate.com/cda/products/discsales/marketing/detail/1,1081,645,00.html
Let's go to their tools page. Be sure to use Internet Explorer since that
is the browser that will work with their Online tools;
http://www.seagate.com/support/disc/utils.html
We find a link to their "Diagnostic Software (SeaTools)".
Clicking that link takes us to a page describing three
different versions of that tool.
http://www.seagate.com/support/seatools/
1. Under "SeaTools Online" > Select a language: select English
2. On the following page start with the "Drive Self Test (DST)",
when asked if you want to install the IE HD tool plugin click yes,
and after that test is done go through the "File System Check" and
"Generic Drive Tests" too.
3. Let me know if it reports any errors.
Good luck!