79040864160 has 288 divisors, whose sum is σ = 280076181840. Its totient is φ = 20274315264.

The previous prime is 79040864087. The next prime is 79040864167. The reversal of 79040864160 is 6146804097.

It can be written as a sum of positive squares in 8 ways, for example, as 8588840976 + 70452023184 = 92676^2 + 265428^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (79040864167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11564104 + ... + 11570936.

Almost surely, 2^79040864160 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 79040864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140038090920).

79040864160 is an abundant number, since it is smaller than the sum of its proper divisors (201035317680).

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

79040864160 is a wasteful number, since it uses less digits than its factorization.

79040864160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 7149 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 79040864160 in words is "seventy-nine billion, forty million, eight hundred sixty-four thousand, one hundred sixty".