According to wikipedia, 4. Three weren't "uncontested", 1938 they were the CFRA champs, 1950 they were the CFRA and NCF champs, 1951 they were the AP and UP champs, and un 1998 they were the undisputed BCS champs (13-0). I'm from KY, but outside of Basketball season there isn't much to cheer about.
The University of North Carolina does not have any national championships in football.
The university claims 8 national championships.
Many teams have won 0 national championships.
The University of Michigan has 11 National Championships. The University of Miami has 5 National Championships.
13
116 national championships since 1895 in football. However most teams don't count their national championship pre ww2!
They have had 3 national champion ships in football.
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Five
Three