791183808000 has 1280 divisors, whose sum is σ = 3232001710080. Its totient is φ = 189775872000.

The previous prime is 791183807971. The next prime is 791183808001. The reversal of 791183808000 is 808381197.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791183808001) 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 127 ways as a sum of consecutive naturals, for example, 675647415 + ... + 675648585.

It is an arithmetic number, because the mean of its divisors is an integer number (2525001336).

Almost surely, 2^791183808000 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 791183808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616000855040).

791183808000 is an abundant number, since it is smaller than the sum of its proper divisors (2440817902080).

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

791183808000 is a wasteful number, since it uses less digits than its factorization.

791183808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 791183808000 in words is "seven hundred ninety-one billion, one hundred eighty-three million, eight hundred eight thousand".