Giving email account a name when sending emails with Django through Google Apps

You can actually use "Don't Reply <do_not_reply@domain.example>" as the email address you send from.

Try this in the shell of your Django project to test if it also works with gapps:

>>> from django.core.mail import send_mail
>>> send_mail('subject', 'message', "Don't Reply <do_not_reply@domain.example>", ['youremail@example.com'])