764745840 has 160 divisors (see below), whose sum is σ = 2643164160. Its totient is φ = 203233536.

The previous prime is 764745829. The next prime is 764745847. The reversal of 764745840 is 48547467.

764745840 is a `hidden beast` number, since 7 + 64 + 7 + 4 + 584 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764745847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051557 + ... + 1052283.

It is an arithmetic number, because the mean of its divisors is an integer number (16519776).

Almost surely, 2^764745840 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 764745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321582080).

764745840 is an abundant number, since it is smaller than the sum of its proper divisors (1878418320).

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

764745840 is a wasteful number, since it uses less digits than its factorization.

764745840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 764745840 is about 27654.0384030977. The cubic root of 764745840 is about 914.4761311913.

The spelling of 764745840 in words is "seven hundred sixty-four million, seven hundred forty-five thousand, eight hundred forty".