769523328 has 320 divisors, whose sum is σ = 2736961920. Its totient is φ = 209848320.

The previous prime is 769523311. The next prime is 769523329. The reversal of 769523328 is 823325967.

It is not an unprimeable number, because it can be changed into a prime (769523329) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1669018 + ... + 1669478.

It is an arithmetic number, because the mean of its divisors is an integer number (8553006).

Almost surely, 2^769523328 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 769523328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368480960).

769523328 is an abundant number, since it is smaller than the sum of its proper divisors (1967438592).

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

769523328 is a wasteful number, since it uses less digits than its factorization.

769523328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 496 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 769523328 is about 27740.2834880972. The cubic root of 769523328 is about 916.3764716817.

The spelling of 769523328 in words is "seven hundred sixty-nine million, five hundred twenty-three thousand, three hundred twenty-eight".