79005438720 has 576 divisors, whose sum is σ = 309361852800. Its totient is φ = 18968739840.

The previous prime is 79005438719. The next prime is 79005438731. The reversal of 79005438720 is 2783450097.

79005438720 is a `hidden beast` number, since 7 + 9 + 0 + 0 + 543 + 87 + 20 = 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 (45).

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, 18418336 + ... + 18422624.

It is an arithmetic number, because the mean of its divisors is an integer number (537086550).

Almost surely, 2^79005438720 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 79005438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154680926400).

79005438720 is an abundant number, since it is smaller than the sum of its proper divisors (230356414080).

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

79005438720 is a wasteful number, since it uses less digits than its factorization.

79005438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 79005438720 in words is "seventy-nine billion, five million, four hundred thirty-eight thousand, seven hundred twenty".