764800 has 48 divisors (see below), whose sum is σ = 1897200. Its totient is φ = 304640.

The previous prime is 764789. The next prime is 764809. The reversal of 764800 is 8467.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3081 + ... + 3319.

It is an arithmetic number, because the mean of its divisors is an integer number (39525).

2⁷⁶⁴⁸⁰⁰ 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 764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948600).

764800 is an abundant number, since it is smaller than the sum of its proper divisors (1132400).

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

764800 is a wasteful number, since it uses less digits than its factorization.

764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 764800 is about 874.5284443630. The cubic root of 764800 is about 91.4497718694.

The spelling of 764800 in words is "seven hundred sixty-four thousand, eight hundred".