8208800 has 72 divisors (see below), whose sum is σ = 20748672. Its totient is φ = 3168000.

The previous prime is 8208797. The next prime is 8208803. The reversal of 8208800 is 88028.

It is an interprime number because it is at equal distance from previous prime (8208797) and next prime (8208803).

It is a self number, because there is not a number n which added to its sum of digits gives 8208800.

It is not an unprimeable number, because it can be changed into a prime (8208803) 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, 24635 + ... + 24965.

It is an arithmetic number, because the mean of its divisors is an integer number (288176).

Almost surely, 2^8208800 is an apocalyptic number.

8208800 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 8208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10374336).

8208800 is an abundant number, since it is smaller than the sum of its proper divisors (12539872).

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

8208800 is a wasteful number, since it uses less digits than its factorization.

8208800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 8208800 is about 2865.1003472828. The cubic root of 8208800 is about 201.7250777533.

The spelling of 8208800 in words is "eight million, two hundred eight thousand, eight hundred".