768800 has 54 divisors (see below), whose sum is σ = 1939329. Its totient is φ = 297600.

The previous prime is 768799. The next prime is 768811. The reversal of 768800 is 8867.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

768800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 753424 + 15376 = 868^2 + 124^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=620.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24785 + ... + 24815.

2⁷⁶⁸⁸⁰⁰ 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 768800

768800 is an abundant number, since it is smaller than the sum of its proper divisors (1170529).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

768800 is a wasteful number, since it uses less digits than its factorization.

768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 768800 is about 876.8124086713. The cubic root of 768800 is about 91.6089259877.

The spelling of 768800 in words is "seven hundred sixty-eight thousand, eight hundred".