791540977824 has 192 divisors, whose sum is σ = 2332380718080. Its totient is φ = 261140785920.

The previous prime is 791540977823. The next prime is 791540977849. The reversal of 791540977824 is 428779045197.

791540977824 is a `hidden beast` number, since 7 + 9 + 1 + 540 + 9 + 7 + 7 + 82 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (791540977823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120456459 + ... + 120463029.

It is an arithmetic number, because the mean of its divisors is an integer number (12147816240).

Almost surely, 2^791540977824 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 791540977824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166190359040).

791540977824 is an abundant number, since it is smaller than the sum of its proper divisors (1540839740256).

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

791540977824 is a wasteful number, since it uses less digits than its factorization.

791540977824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 791540977824 in words is "seven hundred ninety-one billion, five hundred forty million, nine hundred seventy-seven thousand, eight hundred twenty-four".