The common advice against bullying is to ignore. Unfortunately, ignoring bullies can and often will lead to group dynamics where you become the designated punching bag. If the bully gets a positive response from the group instead of you, the bully got what they wanted, and it doesn't matter at all that you "ignored" him. In the worst case scenario, all you did was multiply the number of bullies you need to deal with.
What you need to learn is to ignore the insulting and hurtful part of their action so you can react calmly. Don't get mad just because an ass is behaving like an ass - that's what an ass does, it is what makes them an ass. But you still need to react to the bully's actions in order to make them stop.
The key to your reactions is that they need to get the group on your side. If you already have the group on your side, ignoring him and letting someone else respond is great. Unfortunately things are rarely this easy, or you probably wouldn't have asked for advice. You'll need to respond yourself.
There are several ways to do this, and there doesn't seem to be a way that guarantees success. Some ways that can work:
- Self depreciation and compliments (+ veiled sarcasm). E.g. when he insults your looks "not everybody can be as good-looking as you". Read martijn's answer and watch his linked videos.
- Standardized insult, and avoid any kind of debate or shouting match. E.g. Don't look at him, continue as if he didn't say anything, but give him the finger.
- Remark on the unoriginality of his insults. E.g. "We've heard that before, it's getting boring."
- Turn the insult around. E.g. After: "When I told them, I wanted to be the suicide girl, he said I can't be because it is more emotional when someone goodlooking dies." you can respond "So you're not volunteering, we got that."
- A physical reaction. As a female against male, a slap to the face is often a socially accepted response to an insult, and will often see the male as the aggressor if they decide to retaliate. If you decide to go this route, take self defense classes first.
Do not mix the different approaches. Try one for a few days, see if it works. If it works, stick with it, otherwise try the next one.