791902440 has 384 divisors, whose sum is σ = 3145824000. Its totient is φ = 173560320.

The previous prime is 791902429. The next prime is 791902487. The reversal of 791902440 is 44209197.

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

It is a junction number, because it is equal to n+sod(n) for n = 791902395 and 791902404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7265106 + ... + 7265214.

It is an arithmetic number, because the mean of its divisors is an integer number (8192250).

Almost surely, 2^791902440 is an apocalyptic number.

791902440 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 791902440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572912000).

791902440 is an abundant number, since it is smaller than the sum of its proper divisors (2353921560).

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

791902440 is a wasteful number, since it uses less digits than its factorization.

791902440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 791902440 is about 28140.7611837349. The cubic root of 791902440 is about 925.1750104700.

The spelling of 791902440 in words is "seven hundred ninety-one million, nine hundred two thousand, four hundred forty".