768830832 has 320 divisors, whose sum is σ = 2849817600. Its totient is φ = 192568320.

The previous prime is 768830791. The next prime is 768830833. The reversal of 768830832 is 238038867.

It is a super-2 number, since 2×768830832² = 1182201696467624448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768830833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 964258 + ... + 965054.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 2^768830832 is an apocalyptic number.

768830832 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 768830832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424908800).

768830832 is an abundant number, since it is smaller than the sum of its proper divisors (2080986768).

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

768830832 is a wasteful number, since it uses less digits than its factorization.

768830832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 768830832 is about 27727.7989029061. The cubic root of 768830832 is about 916.1015060119.

The spelling of 768830832 in words is "seven hundred sixty-eight million, eight hundred thirty thousand, eight hundred thirty-two".