79829416680 has 256 divisors, whose sum is σ = 274092698880. Its totient is φ = 18425954304.

The previous prime is 79829416673. The next prime is 79829416687. The reversal of 79829416680 is 8661492897.

It is a Cunningham number, because it is equal to 282541²-1.

It is an interprime number because it is at equal distance from previous prime (79829416673) and next prime (79829416687).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (79829416687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7340607 + ... + 7351473.

It is an arithmetic number, because the mean of its divisors is an integer number (1070674605).

Almost surely, 2^79829416680 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 79829416680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137046349440).

79829416680 is an abundant number, since it is smaller than the sum of its proper divisors (194263282200).

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

79829416680 is a wasteful number, since it uses less digits than its factorization.

79829416680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11188 (or 11184 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 79829416680 in words is "seventy-nine billion, eight hundred twenty-nine million, four hundred sixteen thousand, six hundred eighty".