79314606720 has 192 divisors, whose sum is σ = 274189617000. Its totient is φ = 21126905856.

The previous prime is 79314606697. The next prime is 79314606733. The reversal of 79314606720 is 2760641397.

79314606720 is a `hidden beast` number, since 7 + 9 + 3 + 14 + 606 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77012910144 + 2301696576 = 277512^2 + 47976^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5482056 + ... + 5496504.

Almost surely, 2^79314606720 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 79314606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137094808500).

79314606720 is an abundant number, since it is smaller than the sum of its proper divisors (194875010280).

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

79314606720 is a wasteful number, since it uses less digits than its factorization.

79314606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15427 (or 15412 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 79314606720 in words is "seventy-nine billion, three hundred fourteen million, six hundred six thousand, seven hundred twenty".