I wouldn’t touch these permissions at all, these are the hardware resources and to give any user full permission to it, just don’t do it.
Yes, the mounted folder must be adjusted. The chmod is different for files and folders, that can be achieved with the find command:
sudo find /var/www/html/data -type d -exec chmod 750 {} ;
sudo find /var/www/html/data -type f -exec chmod 640 {} ;