8412800 has 96 divisors (see below), whose sum is σ = 22766400. Its totient is φ = 3046400.

The previous prime is 8412799. The next prime is 8412809. The reversal of 8412800 is 82148.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8412809) 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 11 ways as a sum of consecutive naturals, for example, 35081 + ... + 35319.

It is an arithmetic number, because the mean of its divisors is an integer number (237150).

Almost surely, 2^8412800 is an apocalyptic number.

8412800 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 8412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383200).

8412800 is an abundant number, since it is smaller than the sum of its proper divisors (14353600).

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

8412800 is a wasteful number, since it uses less digits than its factorization.

8412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 8412800 is about 2900.4827184453. The cubic root of 8412800 is about 203.3824719246.

Adding to 8412800 its reverse (82148), we get a palindrome (8494948).

The spelling of 8412800 in words is "eight million, four hundred twelve thousand, eight hundred".