8800400 has 90 divisors (see below), whose sum is σ = 24649650. Its totient is φ = 3010560.

The previous prime is 8800397. The next prime is 8800403. The reversal of 8800400 is 40088.

It is an interprime number because it is at equal distance from previous prime (8800397) and next prime (8800403).

It can be written as a sum of positive squares in 3 ways, for example, as 802816 + 7997584 = 896^2 + 2828^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8800403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19376 + ... + 19824.

It is an arithmetic number, because the mean of its divisors is an integer number (273885).

Almost surely, 2^8800400 is an apocalyptic number.

8800400 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 8800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324825).

8800400 is an abundant number, since it is smaller than the sum of its proper divisors (15849250).

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

8800400 is a wasteful number, since it uses less digits than its factorization.

8800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 463 counting only the distinct ones).

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

The square root of 8800400 is about 2966.5468140584. The cubic root of 8800400 is about 206.4591511654.

Adding to 8800400 its reverse (40088), we get a palindrome (8840488).

The spelling of 8800400 in words is "eight million, eight hundred thousand, four hundred".