79098182200 has 96 divisors (see below), whose sum is σ = 192666418560. Its totient is φ = 30142640000.

The previous prime is 79098182197. The next prime is 79098182311. The reversal of 79098182200 is 228189097.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

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 23 ways as a sum of consecutive naturals, for example, 1120347 + ... + 1188853.

It is an arithmetic number, because the mean of its divisors is an integer number (2006941860).

Almost surely, 2^79098182200 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 79098182200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96333209280).

79098182200 is an abundant number, since it is smaller than the sum of its proper divisors (113568236360).

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

79098182200 is a wasteful number, since it uses less digits than its factorization.

79098182200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68797 (or 68788 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

It can be divided in two parts, 790981 and 82200, that added together give a triangular number (873181 = T₁₃₂₁).

The spelling of 79098182200 in words is "seventy-nine billion, ninety-eight million, one hundred eighty-two thousand, two hundred".