8806400 has 84 divisors (see below), whose sum is σ = 22346412. Its totient is φ = 3440640.

The previous prime is 8806393. The next prime is 8806403. The reversal of 8806400 is 46088.

8806400 is nontrivially palindromic in base 7.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 8806400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8806403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204779 + ... + 204821.

Almost surely, 2^8806400 is an apocalyptic number.

8806400 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 8806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173206).

8806400 is an abundant number, since it is smaller than the sum of its proper divisors (13540012).

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

8806400 is an equidigital number, since it uses as much as digits as its factorization.

8806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 8806400 is about 2967.5579185586. The cubic root of 8806400 is about 206.5060609078.

The spelling of 8806400 in words is "eight million, eight hundred six thousand, four hundred".