79080946560 has 1536 divisors, whose sum is σ = 359891251200. Its totient is φ = 15527116800.

The previous prime is 79080946537. The next prime is 79080946561. The reversal of 79080946560 is 6564908097.

79080946560 is a `hidden beast` number, since 79 + 0 + 8 + 0 + 9 + 4 + 6 + 560 = 666.

It is a super-2 number, since 2×79080946560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79080946497 and 79080946506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79080946561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1001024601 + ... + 1001024679.

It is an arithmetic number, because the mean of its divisors is an integer number (234304200).

Almost surely, 2^79080946560 is an apocalyptic number.

79080946560 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 79080946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179945625600).

79080946560 is an abundant number, since it is smaller than the sum of its proper divisors (280810304640).

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

79080946560 is a wasteful number, since it uses less digits than its factorization.

79080946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 79080946560 in words is "seventy-nine billion, eighty million, nine hundred forty-six thousand, five hundred sixty".