79065174720 has 448 divisors, whose sum is σ = 294948864000. Its totient is φ = 17569886208.

The previous prime is 79065174701. The next prime is 79065174731. The reversal of 79065174720 is 2747156097.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 79065174720.

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, 52744531 + ... + 52746029.

It is an arithmetic number, because the mean of its divisors is an integer number (658368000).

Almost surely, 2^79065174720 is an apocalyptic number.

79065174720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79065174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147474432000).

79065174720 is an abundant number, since it is smaller than the sum of its proper divisors (215883689280).

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

79065174720 is a wasteful number, since it uses less digits than its factorization.

79065174720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 79065174720 in words is "seventy-nine billion, sixty-five million, one hundred seventy-four thousand, seven hundred twenty".