769856832 has 224 divisors, whose sum is σ = 2435961600. Its totient is φ = 237551616.

The previous prime is 769856819. The next prime is 769856833. The reversal of 769856832 is 238658967.

It is a happy number.

769856832 is a `hidden beast` number, since 76 + 9 + 8 + 568 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769856833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2144269 + ... + 2144627.

Almost surely, 2^769856832 is an apocalyptic number.

769856832 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 769856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217980800).

769856832 is an abundant number, since it is smaller than the sum of its proper divisors (1666104768).

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

769856832 is a wasteful number, since it uses less digits than its factorization.

769856832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 454 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 769856832 is about 27746.2940228060. The cubic root of 769856832 is about 916.5088354746.

The spelling of 769856832 in words is "seven hundred sixty-nine million, eight hundred fifty-six thousand, eight hundred thirty-two".