769807872 has 240 divisors, whose sum is σ = 2435951232. Its totient is φ = 232980480.

The previous prime is 769807853. The next prime is 769807879. The reversal of 769807872 is 278708967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769807879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2428258 + ... + 2428574.

Almost surely, 2^769807872 is an apocalyptic number.

769807872 is a gapful number since it is divisible by the number (72) 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 769807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217975616).

769807872 is an abundant number, since it is smaller than the sum of its proper divisors (1666143360).

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

769807872 is a wasteful number, since it uses less digits than its factorization.

769807872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 769807872 is about 27745.4117287886. The cubic root of 769807872 is about 916.4894062240.

The spelling of 769807872 in words is "seven hundred sixty-nine million, eight hundred seven thousand, eight hundred seventy-two".