79380707477760 has 576 divisors, whose sum is σ = 303485316825600. Its totient is φ = 19531783176192.

The previous prime is 79380707477653. The next prime is 79380707477977. The reversal of 79380707477760 is 6777470708397.

79380707477760 is a `hidden beast` number, since 7 + 9 + 3 + 80 + 7 + 0 + 7 + 477 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1124512546 + ... + 1124583134.

It is an arithmetic number, because the mean of its divisors is an integer number (526884230600).

Almost surely, 2^{79380707477760} 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 79380707477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151742658412800).

79380707477760 is an abundant number, since it is smaller than the sum of its proper divisors (224104609347840).

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

79380707477760 is a wasteful number, since it uses less digits than its factorization.

79380707477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73135 (or 73115 counting only the distinct ones).

The product of its (nonzero) digits is 609892416, while the sum is 72.

The spelling of 79380707477760 in words is "seventy-nine trillion, three hundred eighty billion, seven hundred seven million, four hundred seventy-seven thousand, seven hundred sixty".