79183872768 has 288 divisors, whose sum is σ = 282960502272. Its totient is φ = 18984960000.

The previous prime is 79183872767. The next prime is 79183872791. The reversal of 79183872768 is 86727838197.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 79183872699 and 79183872708.

It is not an unprimeable number, because it can be changed into a prime (79183872763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 717268 + ... + 820268.

It is an arithmetic number, because the mean of its divisors is an integer number (982501744).

Almost surely, 2^79183872768 is an apocalyptic number.

79183872768 is a gapful number since it is divisible by the number (78) 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 79183872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141480251136).

79183872768 is an abundant number, since it is smaller than the sum of its proper divisors (203776629504).

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

79183872768 is a wasteful number, since it uses less digits than its factorization.

79183872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103051 (or 103037 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 66.

The spelling of 79183872768 in words is "seventy-nine billion, one hundred eighty-three million, eight hundred seventy-two thousand, seven hundred sixty-eight".