Genesis 5.31 – Lamech lived 777 years

We all know Noah, but what about his father Lamech? His father was Methuselah and his son was Noah. We know that he prophesied that Noah would bring comfort because of the ground that God had cursed. For this web site, it also interests us that he died at an usual age:

So all the days of Lamech were seven hundred and seventy-seven years; and he died.
– Genesis 5.31

Is there any spiritual or biblical significance to his age when he died? It is hard to tell, but it is hard to miss those three sevens.