8005400 has 48 divisors (see below), whose sum is σ = 20050800. Its totient is φ = 2954880.

The previous prime is 8005397. The next prime is 8005411. The reversal of 8005400 is 45008.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1061 + ... + 4139.

It is an arithmetic number, because the mean of its divisors is an integer number (417725).

Almost surely, 2^8005400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8005400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10025400).

8005400 is an abundant number, since it is smaller than the sum of its proper divisors (12045400).

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

8005400 is a wasteful number, since it uses less digits than its factorization.

8005400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 8005400 is about 2829.3815578674. The cubic root of 8005400 is about 200.0449898788.

The spelling of 8005400 in words is "eight million, five thousand, four hundred".