8444800 has 192 divisors, whose sum is σ = 26560800. Its totient is φ = 2580480.

The previous prime is 8444789. The next prime is 8444809. The reversal of 8444800 is 84448.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8444809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291186 + ... + 291214.

Almost surely, 2^8444800 is an apocalyptic number.

8444800 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 8444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280400).

8444800 is an abundant number, since it is smaller than the sum of its proper divisors (18116000).

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

8444800 is a wasteful number, since it uses less digits than its factorization.

8444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 8444800 is about 2905.9938059122. The cubic root of 8444800 is about 203.6400161683.

Multiplying 8444800 by its reverse (84448), we get a square (713146470400 = 844480²).

8444800 divided by its reverse (84448) gives a square (100 = 10²).

The spelling of 8444800 in words is "eight million, four hundred forty-four thousand, eight hundred".