79290720 has 288 divisors, whose sum is σ = 297198720. Its totient is φ = 19169280.

The previous prime is 79290697. The next prime is 79290721. The reversal of 79290720 is 2709297.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79290721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003641 + ... + 1003719.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^79290720 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 79290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

79290720 is an abundant number, since it is smaller than the sum of its proper divisors (217908000).

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

79290720 is a wasteful number, since it uses less digits than its factorization.

79290720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 79290720 is about 8904.5336767290. The cubic root of 79290720 is about 429.6097414642.

The spelling of 79290720 in words is "seventy-nine million, two hundred ninety thousand, seven hundred twenty".