79670080 has 84 divisors (see below), whose sum is σ = 220731588. Its totient is φ = 27310080.

The previous prime is 79670053. The next prime is 79670117. The reversal of 79670080 is 8007697.

It can be written as a sum of positive squares in 2 ways, for example, as 19079424 + 60590656 = 4368^2 + 7784^2 .

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, 13140 + ... + 18220.

It is an arithmetic number, because the mean of its divisors is an integer number (2627757).

Almost surely, 2^79670080 is an apocalyptic number.

79670080 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 79670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110365794).

79670080 is an abundant number, since it is smaller than the sum of its proper divisors (141061508).

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

79670080 is a wasteful number, since it uses less digits than its factorization.

79670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 79670080 is about 8925.8097671864. The cubic root of 79670080 is about 430.2937959742.

It can be divided in two parts, 796 and 70080, that added together give a triangular number (70876 = T₃₇₆).

The spelling of 79670080 in words is "seventy-nine million, six hundred seventy thousand, eighty".