Is LG HDD/DVD RECORDER RH1777 reigon 1 capable

If you mean to play DVD’s that you may have purchased in another country the see below

For that you need to do a Google for "mymodel region free" or "region free hack"

Not all DVD players are capable of this often very simple modification that many manufacturers build into DVD player. (Usually just involves the remote control and a combination of keys)

Your search will turn up a lot of sharks that want money for the hack (fix)

IGNORE THEM

There are a lot of sites where the information is free.

If after opening up the region free parameter you still have issues and you still want to play your dvd's from around the world you might want to consider another one

I am STILL (lauren) unsure of FIXYA's policy on this topic and am awaiting further clarification on the issue with regards to handing out these codes as this is not HACKING in the same sense as pirate software etc. it is just enabling an extra feature that the manufacturer provided.
I would prefer not to get my @ss kicked. That is why I can only give you the search terms rather than site links or specific information