79552080 has 120 divisors (see below), whose sum is σ = 268775208. Its totient is φ = 21086208.

The previous prime is 79552079. The next prime is 79552093. The reversal of 79552080 is 8025597.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 79067664 = 696^2 + 8892^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225184 + ... + 225536.

Almost surely, 2^79552080 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 79552080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134387604).

79552080 is an abundant number, since it is smaller than the sum of its proper divisors (189223128).

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

79552080 is a wasteful number, since it uses less digits than its factorization.

79552080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 79552080 is about 8919.1972732976. The cubic root of 79552080 is about 430.0812537996.

The spelling of 79552080 in words is "seventy-nine million, five hundred fifty-two thousand, eighty".