791598268800 has 384 divisors, whose sum is σ = 2944541671200. Its totient is φ = 207630950400.

The previous prime is 791598268751. The next prime is 791598268807. The reversal of 791598268800 is 8862895197.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791598268807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5195302 + ... + 5345498.

Almost surely, 2^791598268800 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 791598268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472270835600).

791598268800 is an abundant number, since it is smaller than the sum of its proper divisors (2152943402400).

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

791598268800 is a wasteful number, since it uses less digits than its factorization.

791598268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150291 (or 150268 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 791598268800 in words is "seven hundred ninety-one billion, five hundred ninety-eight million, two hundred sixty-eight thousand, eight hundred".