Context: chatting with a friend I used the expression Stupid O'Clock for a wake-up time, to which he answered that it was too late to use that name - and now I'm thinking up silly names for all the hours between midnight and a delectably later time to rise and shine.
I hope the question isn't too silly.
EDIT. Many of you gentlepeople have pointed out that daft is used in BrEnglish only (most of it?) so I'd like to amend my question as such:
What mild/not-too-offensive word(s) would you use to jokingly describe a wake-up time that you aren't exceedingly fond of?
[I realised too late that what is an uncommonly cruel hour for someone might be a perfect wake-up time for someone else. Maybe it is already Stupid O'Clock for me?]