79015682304 has 864 divisors, whose sum is σ = 281167407360. Its totient is φ = 21760966656.

The previous prime is 79015682293. The next prime is 79015682309. The reversal of 79015682304 is 40328651097.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 79015682304.

It is not an unprimeable number, because it can be changed into a prime (79015682309) 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, 456737962 + ... + 456738134.

It is an arithmetic number, because the mean of its divisors is an integer number (325425240).

It is a 1-persistent number, because it is pandigital, but 2⋅79015682304 = 158031364608 is not.

Almost surely, 2^79015682304 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 79015682304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140583703680).

79015682304 is an abundant number, since it is smaller than the sum of its proper divisors (202151725056).

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

79015682304 is a wasteful number, since it uses less digits than its factorization.

79015682304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 79015682304 in words is "seventy-nine billion, fifteen million, six hundred eighty-two thousand, three hundred four".