791294400 has 336 divisors, whose sum is σ = 3108655200. Its totient is φ = 194641920.

The previous prime is 791294389. The next prime is 791294401. The reversal of 791294400 is 4492197.

It is a super-2 number, since 2×791294400² = 1252293654942720000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791294401) 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 47 ways as a sum of consecutive naturals, for example, 560896 + ... + 562304.

It is an arithmetic number, because the mean of its divisors is an integer number (9251950).

Almost surely, 2^791294400 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 791294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554327600).

791294400 is an abundant number, since it is smaller than the sum of its proper divisors (2317360800).

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

791294400 is a wasteful number, since it uses less digits than its factorization.

791294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1432 counting only the distinct ones).

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

The square root of 791294400 is about 28129.9555634203. The cubic root of 791294400 is about 924.9381599759.

The spelling of 791294400 in words is "seven hundred ninety-one million, two hundred ninety-four thousand, four hundred".