8144800 has 36 divisors (see below), whose sum is σ = 19885446. Its totient is φ = 3257600.

The previous prime is 8144791. The next prime is 8144803. The reversal of 8144800 is 84418.

It can be written as a sum of positive squares in 3 ways, for example, as 6370576 + 1774224 = 2524^2 + 1332^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (8144803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4291 + ... + 5890.

Almost surely, 2^8144800 is an apocalyptic number.

8144800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8144800 is an abundant number, since it is smaller than the sum of its proper divisors (11740646).

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

8144800 is a wasteful number, since it uses less digits than its factorization.

8144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201 (or 10188 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 8144800 is about 2853.9095991289. The cubic root of 8144800 is about 201.1994587793.

The spelling of 8144800 in words is "eight million, one hundred forty-four thousand, eight hundred".