791615880 has 288 divisors, whose sum is σ = 2997048600. Its totient is φ = 180449280.

The previous prime is 791615861. The next prime is 791615893. The reversal of 791615880 is 88516197.

791615880 is a `hidden beast` number, since 7 + 9 + 1 + 61 + 588 + 0 = 666.

791615880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 707453604 + 84162276 = 26598^2 + 9174^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 739986 + ... + 741054.

Almost surely, 2^791615880 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 791615880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498524300).

791615880 is an abundant number, since it is smaller than the sum of its proper divisors (2205432720).

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

791615880 is a wasteful number, since it uses less digits than its factorization.

791615880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 791615880 is about 28135.6691763320. The cubic root of 791615880 is about 925.0634015466.

The spelling of 791615880 in words is "seven hundred ninety-one million, six hundred fifteen thousand, eight hundred eighty".