769180864 has 42 divisors (see below), whose sum is σ = 1568889420. Its totient is φ = 374153472.

The previous prime is 769180847. The next prime is 769180889. The reversal of 769180864 is 468081967.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 83227 + ... + 92005.

It is an arithmetic number, because the mean of its divisors is an integer number (37354510).

Almost surely, 2^769180864 is an apocalyptic number.

769180864 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784444710).

769180864 is an abundant number, since it is smaller than the sum of its proper divisors (799708556).

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

769180864 is an equidigital number, since it uses as much as digits as its factorization.

769180864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865 (or 8818 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 769180864 is about 27734.1101173266. The cubic root of 769180864 is about 916.2405119663.

The spelling of 769180864 in words is "seven hundred sixty-nine million, one hundred eighty thousand, eight hundred sixty-four".