79779802798080 has 1536 divisors, whose sum is σ = 354242759270400. Its totient is φ = 16546067251200.

The previous prime is 79779802798063. The next prime is 79779802798093. The reversal of 79779802798080 is 8089720897797.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 12155992879 + ... + 12155999441.

It is an arithmetic number, because the mean of its divisors is an integer number (230626796400).

Almost surely, 2^{79779802798080} is an apocalyptic number.

79779802798080 is a gapful number since it is divisible by the number (70) 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 79779802798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177121379635200).

79779802798080 is an abundant number, since it is smaller than the sum of its proper divisors (274462956472320).

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

79779802798080 is a wasteful number, since it uses less digits than its factorization.

79779802798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 1792336896, while the sum is 81.

The spelling of 79779802798080 in words is "seventy-nine trillion, seven hundred seventy-nine billion, eight hundred two million, seven hundred ninety-eight thousand, eighty".