791072402400 has 1728 divisors, whose sum is σ = 3501000921600. Its totient is φ = 164049960960.

The previous prime is 791072402389. The next prime is 791072402411. The reversal of 791072402400 is 4204270197.

791072402400 is a `hidden beast` number, since 7 + 9 + 1 + 0 + 7 + 240 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (791072402389) and next prime (791072402411).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2940789466 + ... + 2940789734.

It is an arithmetic number, because the mean of its divisors is an integer number (2026042200).

Almost surely, 2^791072402400 is an apocalyptic number.

791072402400 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 791072402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750500460800).

791072402400 is an abundant number, since it is smaller than the sum of its proper divisors (2709928519200).

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

791072402400 is a wasteful number, since it uses less digits than its factorization.

791072402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 791072402400 its reverse (4204270197), we get a palindrome (795276672597).

The spelling of 791072402400 in words is "seven hundred ninety-one billion, seventy-two million, four hundred two thousand, four hundred".