I'm not certain of my facts here, but I think most any digital cam can be set to do this. I'm pretty certain that my Fuji will, but have not taken the trouble to find out how, as I don't want to mess up an otherwise nice picture with having the date printed on it. That is not to be construed as a slam, but simply my personal preference. If I want to know when the shot was taken, I can check the exif and get it right down to the hour, minute, and second.
~YEKCIM