791111880 has 384 divisors, whose sum is σ = 2985091200. Its totient is φ = 185213952.

The previous prime is 791111869. The next prime is 791111941. The reversal of 791111880 is 88111197.

It is a happy number.

791111880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11807607 + ... + 11807673.

It is an arithmetic number, because the mean of its divisors is an integer number (7773675).

Almost surely, 2^791111880 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 791111880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492545600).

791111880 is an abundant number, since it is smaller than the sum of its proper divisors (2193979320).

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

791111880 is a wasteful number, since it uses less digits than its factorization.

791111880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 36.

The square root of 791111880 is about 28126.7111479462. The cubic root of 791111880 is about 924.8670390822.

It can be divided in two parts, 7911 and 11880, that added together give a palindrome (19791).

The spelling of 791111880 in words is "seven hundred ninety-one million, one hundred eleven thousand, eight hundred eighty".