79098209280 has 528 divisors, whose sum is σ = 298147515120. Its totient is φ = 19308478464.

The previous prime is 79098209257. The next prime is 79098209303. The reversal of 79098209280 is 8290289097.

79098209280 is a `hidden beast` number, since 79 + 0 + 98 + 209 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (79098209257) and next prime (79098209303).

It can be written as a sum of positive squares in 8 ways, for example, as 25303901184 + 53794308096 = 159072^2 + 231936^2 .

It is a super-2 number, since 2×79098209280² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28982956 + ... + 28985684.

Almost surely, 2^79098209280 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 79098209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149073757560).

79098209280 is an abundant number, since it is smaller than the sum of its proper divisors (219049305840).

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

79098209280 is a wasteful number, since it uses less digits than its factorization.

79098209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 79098209280 in words is "seventy-nine billion, ninety-eight million, two hundred nine thousand, two hundred eighty".