764580960 has 576 divisors, whose sum is σ = 3170119680. Its totient is φ = 165335040.

The previous prime is 764580953. The next prime is 764580989. The reversal of 764580960 is 69085467.

764580960 is a `hidden beast` number, since 7 + 6 + 4 + 580 + 9 + 60 = 666.

764580960 is a nontrivial binomial coefficient, being equal to C(39105, 2).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9678201 + ... + 9678279.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^764580960 is an apocalyptic number.

764580960 is the 39104-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

764580960 is an abundant number, since it is smaller than the sum of its proper divisors (2405538720).

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

764580960 is a wasteful number, since it uses less digits than its factorization.

764580960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 764580960 is about 27651.0571226490. The cubic root of 764580960 is about 914.4104057987.

The spelling of 764580960 in words is "seven hundred sixty-four million, five hundred eighty thousand, nine hundred sixty".