769481024 has 56 divisors (see below), whose sum is σ = 1660858248. Its totient is φ = 351590400.

The previous prime is 769481017. The next prime is 769481129. The reversal of 769481024 is 420184967.

769481024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 60217600 + 709263424 = 7760^2 + 26632^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79454 + ... + 88610.

It is an arithmetic number, because the mean of its divisors is an integer number (29658183).

Almost surely, 2^769481024 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 769481024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830429124).

769481024 is an abundant number, since it is smaller than the sum of its proper divisors (891377224).

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

769481024 is a wasteful number, since it uses less digits than its factorization.

769481024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9283 (or 9273 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 769481024 is about 27739.5209763976. The cubic root of 769481024 is about 916.3596789914.

The spelling of 769481024 in words is "seven hundred sixty-nine million, four hundred eighty-one thousand, twenty-four".