79099590080 has 448 divisors, whose sum is σ = 235959091200. Its totient is φ = 24645980160.

The previous prime is 79099590019. The next prime is 79099590091. The reversal of 79099590080 is 8009599097.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 79099589998 and 79099590025.

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 63 ways as a sum of consecutive naturals, for example, 220332941 + ... + 220333299.

It is an arithmetic number, because the mean of its divisors is an integer number (526694400).

Almost surely, 2^79099590080 is an apocalyptic number.

79099590080 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 79099590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117979545600).

79099590080 is an abundant number, since it is smaller than the sum of its proper divisors (156859501120).

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

79099590080 is a wasteful number, since it uses less digits than its factorization.

79099590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 56.

The spelling of 79099590080 in words is "seventy-nine billion, ninety-nine million, five hundred ninety thousand, eighty".