8005440 has 112 divisors (see below), whose sum is σ = 26334720. Its totient is φ = 2058240.

The previous prime is 8005429. The next prime is 8005483. The reversal of 8005440 is 445008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29626 + ... + 29894.

Almost surely, 2^8005440 is an apocalyptic number.

8005440 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 8005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167360).

8005440 is an abundant number, since it is smaller than the sum of its proper divisors (18329280).

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

8005440 is a wasteful number, since it uses less digits than its factorization.

8005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 8005440 is about 2829.3886265411. The cubic root of 8005440 is about 200.0453230617.

The spelling of 8005440 in words is "eight million, five thousand, four hundred forty".