Adding Image/File name Automatically to Images uploaded

I have done an event photoshoot and are required to upload the images to a gallery for the client. Unfortunately there are 665 images and I need a way to upload ALL images with File Names. I would normally upload what ever images are required for each shoot since there are never more than 4-6 final images. 

is there a way to automatically upload and file name each image...especially if from Lightroom . Thank in advance. Where I want to place the files will be on a private gallery/page specific to this client.