791056896 has 320 divisors, whose sum is σ = 2592691200. Its totient is φ = 209534976.

The previous prime is 791056891. The next prime is 791056907. The reversal of 791056896 is 698650197.

It is not an unprimeable number, because it can be changed into a prime (791056891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13407715 + ... + 13407773.

It is an arithmetic number, because the mean of its divisors is an integer number (8102160).

Almost surely, 2^791056896 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 791056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296345600).

791056896 is an abundant number, since it is smaller than the sum of its proper divisors (1801634304).

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

791056896 is a wasteful number, since it uses less digits than its factorization.

791056896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 791056896 is about 28125.7336970967. The cubic root of 791056896 is about 924.8456118275.

The spelling of 791056896 in words is "seven hundred ninety-one million, fifty-six thousand, eight hundred ninety-six".