8227200 has 96 divisors (see below), whose sum is σ = 27129960. Its totient is φ = 2191360.

The previous prime is 8227189. The next prime is 8227207. The reversal of 8227200 is 27228.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8227207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9172 + ... + 10028.

Almost surely, 2^8227200 is an apocalyptic number.

8227200 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 8227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564980).

8227200 is an abundant number, since it is smaller than the sum of its proper divisors (18902760).

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

8227200 is a wasteful number, since it uses less digits than its factorization.

8227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 8227200 is about 2868.3096067196. The cubic root of 8227200 is about 201.8756873265.

The spelling of 8227200 in words is "eight million, two hundred twenty-seven thousand, two hundred".