8004400 has 30 divisors (see below), whose sum is σ = 19231532. Its totient is φ = 3201600.

The previous prime is 8004383. The next prime is 8004401. The reversal of 8004400 is 44008.

8004400 = T₄₂₄ + T₄₂₅ + ... + T₄₉₈.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

8004400 is a modest number, since divided by 4400 gives 800 as remainder.

It is not an unprimeable number, because it can be changed into a prime (8004401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9606 + ... + 10405.

Almost surely, 2^8004400 is an apocalyptic number.

8004400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8004400 is an abundant number, since it is smaller than the sum of its proper divisors (11227132).

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

8004400 is a wasteful number, since it uses less digits than its factorization.

8004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20029 (or 20018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 8004400 is about 2829.2048352850. The cubic root of 8004400 is about 200.0366599465.

Adding to 8004400 its reverse (44008), we get a palindrome (8048408).

The spelling of 8004400 in words is "eight million, four thousand, four hundred".