It depends on exactly what you mean by TTL.
A standard TTL gate input, like on a 7400, has an 0.8V maximum input low level, and sources 1.6mA of current. So, the highest value pulldown you would want to use is 0.8/0.0016 = 500ohm.
If it's a different TTL family, or an oddball part, check the datasheet and recalculate.
P.S. This is why you try to avoid using pulldown resistors with TTL.