791116680744 has 192 divisors, whose sum is σ = 2387098481040. Its totient is φ = 235111403520.

The previous prime is 791116680709. The next prime is 791116680769. The reversal of 791116680744 is 447086611197.

It can be written as a sum of positive squares in 8 ways, for example, as 526004968644 + 265111712100 = 725262^2 + 514890^2 .

It is an unprimeable number.

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, 4661214 + ... + 4827954.

Almost surely, 2^791116680744 is an apocalyptic number.

791116680744 is a gapful number since it is divisible by the number (74) 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 791116680744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193549240520).

791116680744 is an abundant number, since it is smaller than the sum of its proper divisors (1595981800296).

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

791116680744 is a wasteful number, since it uses less digits than its factorization.

791116680744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166940 (or 166933 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 791116680744 in words is "seven hundred ninety-one billion, one hundred sixteen million, six hundred eighty thousand, seven hundred forty-four".