How to differentiate which model you are having? Either you can look at the packaging box or open up your PC and look for the version information in the ECS motherboard itself. See picture below for the location where you should see the version number of your ECS A780GM-A motherboard:

What this new release BIOS does is basically provide support for AMD 6Core CPU. So if you are not upgrading to an AMD 6core CPU, there is no need for you to try this BIOS update. Some useful information that you should read before flashing the BIOS:

1. Do not update the BIOS if the system is running fine. Unsuccessful BIOS flash may cause the system fails to boot up. The manufacturer is not responsible for any BIOS flash failure.
2. Make sure your M/B PCB version number first, and then read the updated description & special note carefully to check if the new BIOS version patch pertain to your current problem. Please refer to picture above to check your motherboard PCS version.
3. It is recommended to use the updated flash utility included in each BIOS download package.

Alternatively, you can try the Free Driver Scanner.