79680320 has 42 divisors (see below), whose sum is σ = 190119762. Its totient is φ = 31808256.

The previous prime is 79680311. The next prime is 79680329. The reversal of 79680320 is 2308697.

It is an interprime number because it is at equal distance from previous prime (79680311) and next prime (79680329).

It can be written as a sum of positive squares in only one way, i.e., 63744256 + 15936064 = 7984^2 + 3992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79680329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159431 + ... + 159929.

It is an arithmetic number, because the mean of its divisors is an integer number (4526661).

Almost surely, 2^79680320 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 79680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95059881).

79680320 is an abundant number, since it is smaller than the sum of its proper divisors (110439442).

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

79680320 is an frugal number, since it uses more digits than its factorization.

79680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 79680320 is about 8926.3833661792. The cubic root of 79680320 is about 430.3122304133.

The spelling of 79680320 in words is "seventy-nine million, six hundred eighty thousand, three hundred twenty".