769428352 has 192 divisors, whose sum is σ = 1979550720. Its totient is φ = 291456000.

The previous prime is 769428337. The next prime is 769428353. The reversal of 769428352 is 253824967.

It is a super-2 number, since 2×769428352² = 1184039977722871808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769428353) 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, 5095477 + ... + 5095627.

It is an arithmetic number, because the mean of its divisors is an integer number (10310160).

Almost surely, 2^769428352 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 769428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989775360).

769428352 is an abundant number, since it is smaller than the sum of its proper divisors (1210122368).

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

769428352 is a wasteful number, since it uses less digits than its factorization.

769428352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 218 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 769428352 is about 27738.5715565889. The cubic root of 769428352 is about 916.3387698346.

It can be divided in two parts, 7694 and 28352, that added together give a triangular number (36046 = T₂₆₈).

The spelling of 769428352 in words is "seven hundred sixty-nine million, four hundred twenty-eight thousand, three hundred fifty-two".