818227200 has 288 divisors, whose sum is σ = 3095426880. Its totient is φ = 186777600.

The previous prime is 818227147. The next prime is 818227247. The reversal of 818227200 is 2722818.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074820 + ... + 1075580.

It is an arithmetic number, because the mean of its divisors is an integer number (10748010).

Almost surely, 2^818227200 is an apocalyptic number.

818227200 is a gapful number since it is divisible by the number (80) 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 818227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547713440).

818227200 is an abundant number, since it is smaller than the sum of its proper divisors (2277199680).

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

818227200 is a wasteful number, since it uses less digits than its factorization.

818227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 778 counting only the distinct ones).

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

The square root of 818227200 is about 28604.6709472422. The cubic root of 818227200 is about 935.3151539441.

The spelling of 818227200 in words is "eight hundred eighteen million, two hundred twenty-seven thousand, two hundred".