791374080 has 288 divisors, whose sum is σ = 2943360000. Its totient is φ = 177463296.

The previous prime is 791374079. The next prime is 791374081. The reversal of 791374080 is 80473197.

It is an interprime number because it is at equal distance from previous prime (791374079) and next prime (791374081).

It is not an unprimeable number, because it can be changed into a prime (791374081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1585671 + ... + 1586169.

It is an arithmetic number, because the mean of its divisors is an integer number (10220000).

Almost surely, 2^791374080 is an apocalyptic number.

791374080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471680000).

791374080 is an abundant number, since it is smaller than the sum of its proper divisors (2151985920).

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

791374080 is a wasteful number, since it uses less digits than its factorization.

791374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 791374080 is about 28131.3718115559. The cubic root of 791374080 is about 924.9692047211.

The spelling of 791374080 in words is "seven hundred ninety-one million, three hundred seventy-four thousand, eighty".