How to map domain with an IP at a particular port

HI. I Want to map my domain with the ip at a a particular port. I can change the port on server, but dont want to use 80 or 443.
So if its is on default port 80, i can do following thing

Right now my website is running on port 8080

So can you tell me what i need to do make it run on port 8080 and what i need to do make it https.