764764800 has 384 divisors, whose sum is σ = 2709201600. Its totient is φ = 189235200.

The previous prime is 764764799. The next prime is 764764811. The reversal of 764764800 is 8467467.

764764800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11414367 + ... + 11414433.

Almost surely, 2^764764800 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 764764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354600800).

764764800 is an abundant number, since it is smaller than the sum of its proper divisors (1944436800).

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

764764800 is a wasteful number, since it uses less digits than its factorization.

764764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 764764800 is about 27654.3812080473. The cubic root of 764764800 is about 914.4836885275.

The spelling of 764764800 in words is "seven hundred sixty-four million, seven hundred sixty-four thousand, eight hundred".