791568828 has 96 divisors (see below), whose sum is σ = 2152550400. Its totient is φ = 251076672.

The previous prime is 791568763. The next prime is 791568859. The reversal of 791568828 is 828865197.

791568828 is a `hidden beast` number, since 79 + 1 + 568 + 8 + 2 + 8 = 666.

It is a super-2 number, since 2×791568828² = 1253162418922587168, which contains 22 as substring.

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

Its product of digits (1935360) is a multiple of the sum of its prime divisors (1680).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 553218 + ... + 554646.

It is an arithmetic number, because the mean of its divisors is an integer number (22422400).

Almost surely, 2^791568828 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 791568828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076275200).

791568828 is an abundant number, since it is smaller than the sum of its proper divisors (1360981572).

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

791568828 is a wasteful number, since it uses less digits than its factorization.

791568828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1680 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 791568828 is about 28134.8330011038. The cubic root of 791568828 is about 925.0450732358.

The spelling of 791568828 in words is "seven hundred ninety-one million, five hundred sixty-eight thousand, eight hundred twenty-eight".