79409280 has 128 divisors (see below), whose sum is σ = 257774400. Its totient is φ = 20787200.

The previous prime is 79409269. The next prime is 79409353. The reversal of 79409280 is 8290497.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 112930 + ... + 113630.

Almost surely, 2^79409280 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 79409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128887200).

79409280 is an abundant number, since it is smaller than the sum of its proper divisors (178365120).

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

79409280 is a wasteful number, since it uses less digits than its factorization.

79409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 79409280 is about 8911.1884729255. The cubic root of 79409280 is about 429.8237604788.

The spelling of 79409280 in words is "seventy-nine million, four hundred nine thousand, two hundred eighty".