8218072200 has 384 divisors, whose sum is σ = 29023142400. Its totient is φ = 1909125120.

The previous prime is 8218072199. The next prime is 8218072211. The reversal of 8218072200 is 22708128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10631014 + ... + 10631786.

It is an arithmetic number, because the mean of its divisors is an integer number (75581100).

Almost surely, 2^8218072200 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 8218072200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14511571200).

8218072200 is an abundant number, since it is smaller than the sum of its proper divisors (20805070200).

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

8218072200 is a wasteful number, since it uses less digits than its factorization.

8218072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 8218072200 is about 90653.5834923253. The cubic root of 8218072200 is about 2018.0100161802.

The spelling of 8218072200 in words is "eight billion, two hundred eighteen million, seventy-two thousand, two hundred".