8082200 has 96 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 2640000.

The previous prime is 8082199. The next prime is 8082211. The reversal of 8082200 is 22808.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 32075 + ... + 32325.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^8082200 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 8082200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

8082200 is an abundant number, since it is smaller than the sum of its proper divisors (14416360).

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

8082200 is a wasteful number, since it uses less digits than its factorization.

8082200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 8082200 is about 2842.9210330222. The cubic root of 8082200 is about 200.6826671764.

The spelling of 8082200 in words is "eight million, eighty-two thousand, two hundred".