/usr/lib/gcc/x86_64-linux-gnu/4.8.4 is in gcc-4.8-base 4.8.4-2ubuntu1~14.04.4.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/gcc/x86_64-linux-gnu/4.8
/usr/lib/gcc/x86_64-linux-gnu/4.8