8018200 has 48 divisors (see below), whose sum is σ = 19061280. Its totient is φ = 3135360.

The previous prime is 8018189. The next prime is 8018207. The reversal of 8018200 is 28108.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8018207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8974 + ... + 9826.

It is an arithmetic number, because the mean of its divisors is an integer number (397110).

Almost surely, 2^8018200 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 8018200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9530640).

8018200 is an abundant number, since it is smaller than the sum of its proper divisors (11043080).

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

8018200 is a wasteful number, since it uses less digits than its factorization.

8018200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 8018200 is about 2831.6426328193. The cubic root of 8018200 is about 200.1515517979.

The spelling of 8018200 in words is "eight million, eighteen thousand, two hundred".