Robocopy and BitTorrent have already been suggested and sound like a good idea. Other options that may work better in a restrictive network environment where you cannot e.g. create the SMB connection that seems to be required for RoboCopy:
FTP. I know you don't like it, but with a good server and client, it should work well. Create an FTP server on either source or recipient, make sure that it supports encrypted connections (to prevent transparent proxies etc. from interfering) and files > 4 GB. Then upload/download the file using a good FTP client (making sure to use binary mode). FTP supports connection resuming, so if the connection drops, just resume. A current copy of wget should be fine.
You can do the same with HTTP: Set up a HTTP(S) server supporting large files, and download it with a current copy of wget.
Otherwise, there are rsync binaries for Windows and numerous proprietary rsync-like programs that you could use. Especially if you expect that the file will need to be updated and only small portions of the file will change, you may want to look into that direction.
Remember that at 8 MBit/s (1 MByte/s), it will take you two days to transfer the file. Unless you have really fast connection, sending a physical hard drive with a copy of the file(s) may be faster.