759678864 has 160 divisors (see below), whose sum is σ = 2391275520. Its totient is φ = 202868736.

The previous prime is 759678841. The next prime is 759678889. The reversal of 759678864 is 468876957.

759678864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×759678864² = 1154223952816660992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 759678798 and 759678807.

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, 1022077 + ... + 1022819.

It is an arithmetic number, because the mean of its divisors is an integer number (14945472).

Almost surely, 2^759678864 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 759678864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195637760).

759678864 is an abundant number, since it is smaller than the sum of its proper divisors (1631596656).

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

759678864 is a wasteful number, since it uses less digits than its factorization.

759678864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 951 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 60.

The square root of 759678864 is about 27562.2724752514. The cubic root of 759678864 is about 912.4519728022.

The spelling of 759678864 in words is "seven hundred fifty-nine million, six hundred seventy-eight thousand, eight hundred sixty-four".