79820691456 has 288 divisors, whose sum is σ = 246262161600. Its totient is φ = 22910976000.

The previous prime is 79820691451. The next prime is 79820691479. The reversal of 79820691456 is 65419602897.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 79820691396 and 79820691405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79820691451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14122231 + ... + 14127881.

It is an arithmetic number, because the mean of its divisors is an integer number (855076950).

Almost surely, 2^79820691456 is an apocalyptic number.

79820691456 is a gapful number since it is divisible by the number (76) 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 79820691456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123131080800).

79820691456 is an abundant number, since it is smaller than the sum of its proper divisors (166441470144).

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

79820691456 is a wasteful number, since it uses less digits than its factorization.

79820691456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 79820691456 in words is "seventy-nine billion, eight hundred twenty million, six hundred ninety-one thousand, four hundred fifty-six".