Hi, since microsoft has no real answer about this issue, I'll share the best way to bypass this error.
Many people will tell you to check in your internet option and blablabla but this is a fix for "Error ID: 0x80048849" and not for the "Error ID: 0x80048820".
Most of the support team don't take care of the two last number this is why there is no solution.
Now Follow the next step there will be the Bypass.
1) Open Live Mail
2) delete the existing account.
3) add new account, and check the "manually configure" option
4) set the connection settings to:
Incoming server name: pop3.live.com
Incoming server port: 995
Outgoing server name: smtp.live.com
Outgoing server port: 25
Requires SSL Yes
Requires outgoing authentication Yes
Now your mail should sync without any error.
If I'm not wrong by now the POP service is enable by default and can't be Disable on Hotmail option but you can allow the program to control your mailbox just like the previous automatic setup was doing.
Have an nice day!