769028680 has 64 divisors (see below), whose sum is σ = 2007066240. Its totient is φ = 259725312.

The previous prime is 769028669. The next prime is 769028693. The reversal of 769028680 is 86820967.

769028680 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 2×769028680² = 1182810221325084800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 769028680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1737 + ... + 39256.

It is an arithmetic number, because the mean of its divisors is an integer number (31360410).

Almost surely, 2^769028680 is an apocalyptic number.

769028680 is a gapful number since it is divisible by the number (70) 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 769028680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003533120).

769028680 is an abundant number, since it is smaller than the sum of its proper divisors (1238037560).

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

769028680 is a wasteful number, since it uses less digits than its factorization.

769028680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41078 (or 41074 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 769028680 is about 27731.3663565285. The cubic root of 769028680 is about 916.1800812971.

The spelling of 769028680 in words is "seven hundred sixty-nine million, twenty-eight thousand, six hundred eighty".