79834102656 has 256 divisors, whose sum is σ = 268872652800. Its totient is φ = 20384225280.

The previous prime is 79834102609. The next prime is 79834102681. The reversal of 79834102656 is 65620143897.

It is a junction number, because it is equal to n+sod(n) for n = 79834102599 and 79834102608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1721631 + ... + 1767393.

It is an arithmetic number, because the mean of its divisors is an integer number (1050283800).

It is a 1-persistent number, because it is pandigital, but 2⋅79834102656 = 159668205312 is not.

Almost surely, 2^79834102656 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 79834102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134436326400).

79834102656 is an abundant number, since it is smaller than the sum of its proper divisors (189038550144).

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

79834102656 is a wasteful number, since it uses less digits than its factorization.

79834102656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45857 (or 45845 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 79834102656 in words is "seventy-nine billion, eight hundred thirty-four million, one hundred two thousand, six hundred fifty-six".