79442720 has 72 divisors (see below), whose sum is σ = 218347164. Its totient is φ = 27234816.

The previous prime is 79442689. The next prime is 79442749. The reversal of 79442720 is 2724497.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 78783376 + 659344 = 8876^2 + 812^2 .

It is a super-2 number, since 2×79442720² = 12622291521996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2774 + ... + 12906.

Almost surely, 2^79442720 is an apocalyptic number.

79442720 is a gapful number since it is divisible by the number (70) 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 79442720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109173582).

79442720 is an abundant number, since it is smaller than the sum of its proper divisors (138904444).

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

79442720 is a wasteful number, since it uses less digits than its factorization.

79442720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10162 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 79442720 is about 8913.0645683738. The cubic root of 79442720 is about 429.8840862973.

The spelling of 79442720 in words is "seventy-nine million, four hundred forty-two thousand, seven hundred twenty".