8218800 has 120 divisors (see below), whose sum is σ = 29291280. Its totient is φ = 2188800.

The previous prime is 8218783. The next prime is 8218801. The reversal of 8218800 is 88128.

8218800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8218801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10420 + ... + 11180.

It is an arithmetic number, because the mean of its divisors is an integer number (244094).

Almost surely, 2^8218800 is an apocalyptic number.

8218800 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 8218800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14645640).

8218800 is an abundant number, since it is smaller than the sum of its proper divisors (21072480).

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

8218800 is a wasteful number, since it uses less digits than its factorization.

8218800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8218800 is about 2866.8449556961. The cubic root of 8218800 is about 201.8069586693.

The spelling of 8218800 in words is "eight million, two hundred eighteen thousand, eight hundred".