In my experience, schools really don't give a shit and only pretend like they do (on bullying lessons). Their reputation doesn't really get hurt by that, but my advice, as someone who has been bullied almost all his life, is to try to ignore them, because many bullies search attention from their victims and to tell the school if it doesn't work, which rarely works, so if it then doesn't work, try to avoid them and take matters into your own hands.
Just remember, buddy: you aren't worth less. Stand up for yourself.