79861436928 has 720 divisors, whose sum is σ = 301800058560. Its totient is φ = 19793313792.

The previous prime is 79861436927. The next prime is 79861436939. The reversal of 79861436928 is 82963416897.

79861436928 is a `hidden beast` number, since 7 + 9 + 8 + 614 + 3 + 6 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (79861436927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121185463 + ... + 121186121.

It is an arithmetic number, because the mean of its divisors is an integer number (419166748).

Almost surely, 2^79861436928 is an apocalyptic number.

79861436928 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 79861436928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150900029280).

79861436928 is an abundant number, since it is smaller than the sum of its proper divisors (221938621632).

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

79861436928 is a wasteful number, since it uses less digits than its factorization.

79861436928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 701 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 79861436928 in words is "seventy-nine billion, eight hundred sixty-one million, four hundred thirty-six thousand, nine hundred twenty-eight".