764830560 has 192 divisors, whose sum is σ = 2731518720. Its totient is φ = 178329600.

The previous prime is 764830537. The next prime is 764830571. The reversal of 764830560 is 65038467.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115335 + ... + 121785.

It is an arithmetic number, because the mean of its divisors is an integer number (14226660).

Almost surely, 2^764830560 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 764830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365759360).

764830560 is an abundant number, since it is smaller than the sum of its proper divisors (1966688160).

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

764830560 is a wasteful number, since it uses less digits than its factorization.

764830560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6501 (or 6493 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 764830560 is about 27655.5701441861. The cubic root of 764830560 is about 914.5098990800.

The spelling of 764830560 in words is "seven hundred sixty-four million, eight hundred thirty thousand, five hundred sixty".