76800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
276800 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 76800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126914).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
76800 is a wasteful number, since it uses less digits than its factorization.
76800 is an evil number, because the sum of its binary digits is even.
The square root of 76800 is about 277.1281292110. The cubic root of 76800 is about 42.5063427673.
Multiplying 76800 by its reverse (867), we get a square (66585600 = 81602).
The spelling of 76800 in words is "seventy-six thousand, eight hundred".