791979993 has 54 divisors (see below), whose sum is σ = 1353224574. Its totient is φ = 445036032.

The previous prime is 791979989. The next prime is 791980061. The reversal of 791979993 is 399979197.

It can be written as a sum of positive squares in 3 ways, for example, as 88510464 + 703469529 = 9408^2 + 26523^2 .

It is not a de Polignac number, because 791979993 - 2² = 791979989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 791979993.

It is not an unprimeable number, because it can be changed into a prime (791979913) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2349921 + ... + 2350257.

Almost surely, 2^791979993 is an apocalyptic number.

791979993 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

791979993 is a deficient number, since it is larger than the sum of its proper divisors (561244581).

791979993 is a wasteful number, since it uses less digits than its factorization.

791979993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 420 counting only the distinct ones).

The product of its digits is 8680203, while the sum is 63.

The square root of 791979993 is about 28142.1390978014. The cubic root of 791979993 is about 925.2052110569.

The spelling of 791979993 in words is "seven hundred ninety-one million, nine hundred seventy-nine thousand, nine hundred ninety-three".