79380960403680 has 576 divisors, whose sum is σ = 311140133635968. Its totient is φ = 18256273735680.

The previous prime is 79380960403631. The next prime is 79380960403687. The reversal of 79380960403680 is 8630406908397.

79380960403680 is a `hidden beast` number, since 7 + 9 + 3 + 80 + 96 + 0 + 403 + 68 + 0 = 666.

It is a super-2 number, since 2×79380960403680² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79380960403687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42688525 + ... + 44509235.

It is an arithmetic number, because the mean of its divisors is an integer number (540173843118).

Almost surely, 2^{79380960403680} 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 79380960403680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155570066817984).

79380960403680 is an abundant number, since it is smaller than the sum of its proper divisors (231759173232288).

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

79380960403680 is a wasteful number, since it uses less digits than its factorization.

79380960403680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820899 (or 1820888 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 79380960403680 in words is "seventy-nine trillion, three hundred eighty billion, nine hundred sixty million, four hundred three thousand, six hundred eighty".