79126848768 has 144 divisors (see below), whose sum is σ = 229893193152. Its totient is φ = 23961600000.

The previous prime is 79126848767. The next prime is 79126848821. The reversal of 79126848768 is 86784862197.

It is a happy number.

It is a super-2 number, since 2×79126848768² (a number of 23 digits) contains 22 as substring.

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 = 79126848699 and 79126848708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79126848761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19774768 + ... + 19778768.

It is an arithmetic number, because the mean of its divisors is an integer number (1596480508).

Almost surely, 2^79126848768 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 79126848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114946596576).

79126848768 is an abundant number, since it is smaller than the sum of its proper divisors (150766344384).

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

79126848768 is a wasteful number, since it uses less digits than its factorization.

79126848768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372 (or 6358 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 66.

The spelling of 79126848768 in words is "seventy-nine billion, one hundred twenty-six million, eight hundred forty-eight thousand, seven hundred sixty-eight".