769600512 has 132 divisors (see below), whose sum is σ = 2244903960. Its totient is φ = 253919232.

The previous prime is 769600501. The next prime is 769600537. The reversal of 769600512 is 215006967.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1041039 + ... + 1041777.

Almost surely, 2^769600512 is an apocalyptic number.

769600512 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 769600512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122451980).

769600512 is an abundant number, since it is smaller than the sum of its proper divisors (1475303448).

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

769600512 is a wasteful number, since it uses less digits than its factorization.

769600512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 769600512 is about 27741.6746430348. The cubic root of 769600512 is about 916.4071084991.

The spelling of 769600512 in words is "seven hundred sixty-nine million, six hundred thousand, five hundred twelve".