79050832200 has 300 divisors, whose sum is σ = 280523842665. Its totient is φ = 20631706560.

The previous prime is 79050832193. The next prime is 79050832229. The reversal of 79050832200 is 223805097.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 77469815556 + 1581016644 = 278334^2 + 39762^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=198810.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1681932577 + ... + 1681932623.

Almost surely, 2^79050832200 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 79050832200

79050832200 is an abundant number, since it is smaller than the sum of its proper divisors (201473010465).

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

79050832200 is an frugal number, since it uses more digits than its factorization.

79050832200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 79050832200 in words is "seventy-nine billion, fifty million, eight hundred thirty-two thousand, two hundred".