764878464 has 224 divisors, whose sum is σ = 2613231840. Its totient is φ = 218350080.

The previous prime is 764878427. The next prime is 764878481. The reversal of 764878464 is 464878467.

764878464 is a `hidden beast` number, since 76 + 48 + 78 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 764878464.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 652599 + ... + 653769.

Almost surely, 2^764878464 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 764878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306615920).

764878464 is an abundant number, since it is smaller than the sum of its proper divisors (1848353376).

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

764878464 is an equidigital number, since it uses as much as digits as its factorization.

764878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1183 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 764878464 is about 27656.4362129324. The cubic root of 764878464 is about 914.5289916607.

The spelling of 764878464 in words is "seven hundred sixty-four million, eight hundred seventy-eight thousand, four hundred sixty-four".