79993152 has 84 divisors (see below), whose sum is σ = 231503220. Its totient is φ = 26406912.

The previous prime is 79993129. The next prime is 79993187. The reversal of 79993152 is 25139997.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40755456 + 39237696 = 6384^2 + 6264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 79993098 and 79993107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64474 + ... + 65702.

Almost surely, 2^79993152 is an apocalyptic number.

79993152 is a gapful number since it is divisible by the number (72) 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 79993152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115751610).

79993152 is an abundant number, since it is smaller than the sum of its proper divisors (151510068).

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

79993152 is a wasteful number, since it uses less digits than its factorization.

79993152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1347 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 79993152 is about 8943.8890869688. The cubic root of 79993152 is about 430.8746430149.

The spelling of 79993152 in words is "seventy-nine million, nine hundred ninety-three thousand, one hundred fifty-two".