791831040 has 640 divisors, whose sum is σ = 3431780352. Its totient is φ = 150405120.

The previous prime is 791831021. The next prime is 791831063. The reversal of 791831040 is 40138197.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 791830992 and 791831010.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7687629 + ... + 7687731.

Almost surely, 2^791831040 is an apocalyptic number.

791831040 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 791831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715890176).

791831040 is an abundant number, since it is smaller than the sum of its proper divisors (2639949312).

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

791831040 is a wasteful number, since it uses less digits than its factorization.

791831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 791831040 is about 28139.4925327377. The cubic root of 791831040 is about 925.1472042328.

The spelling of 791831040 in words is "seven hundred ninety-one million, eight hundred thirty-one thousand, forty".