79409828160 has 1008 divisors, whose sum is σ = 322533020160. Its totient is φ = 17856184320.

The previous prime is 79409828159. The next prime is 79409828203. The reversal of 79409828160 is 6182890497.

79409828160 is a `hidden beast` number, since 79 + 409 + 8 + 2 + 8 + 160 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 79409828097 and 79409828106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 286677942 + ... + 286678218.

Almost surely, 2^79409828160 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 79409828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161266510080).

79409828160 is an abundant number, since it is smaller than the sum of its proper divisors (243123192000).

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

79409828160 is a wasteful number, since it uses less digits than its factorization.

79409828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 79409828160 in words is "seventy-nine billion, four hundred nine million, eight hundred twenty-eight thousand, one hundred sixty".