o-dark-thirty - The time you're up before the sun, but not quite ready to be

The time you're up before the sun, but not quite ready to be alive yet. It's like being halfway between a dream and a curse.

I had to leave at o-dark-thirty and my coffee was still dreaming.

She left at o-dark-thirty and came back looking like a ghost.

He told me to be there by o-dark-thirty and I showed up with a hangover.