Not knowing what type of master socket you have as to whether you require microfilters or not - the broadband signal and phone signal are split, but a phone fault will disrupt broadband.
Can you still receive and make phone calls and is there any noise such as crackling or hissing when you just dial 0 before the auto voice kicks in ?
If you require microfilters, then trying a new one won't hurt - with or without the phone plugged in.
Was the outage due to BT shutting down 20CN in favour of the "new" 21CN in your area or was it just a general sort of fault ?
It would be ideal if you could borrow a router from a friend or relative to try as that could eliminate the 7800N, but try the power cycle and then the factory reset and see how you go.
Billion are bringing out a 8800NL on 19th May and later, a 8800 which could be more suitable - but with all new products, they can have their teething problems as you will see from the forum's posts for the other 7800 models.
This is a thread I opened regarding the 8800NL
viewtopic.php?f=3&t=2735