791948880 has 320 divisors, whose sum is σ = 2999808000. Its totient is φ = 191144448.

The previous prime is 791948879. The next prime is 791948887. The reversal of 791948880 is 88849197.

791948880 is a `hidden beast` number, since 79 + 19 + 488 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791948887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 943501 + ... + 944339.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2^791948880 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 791948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904000).

791948880 is an abundant number, since it is smaller than the sum of its proper divisors (2207859120).

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

791948880 is a wasteful number, since it uses less digits than its factorization.

791948880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 791948880 is about 28141.5863092328. The cubic root of 791948880 is about 925.1930953103.

The spelling of 791948880 in words is "seven hundred ninety-one million, nine hundred forty-eight thousand, eight hundred eighty".