8040900 has 108 divisors (see below), whose sum is σ = 27112848. Its totient is φ = 1834560.

The previous prime is 8040899. The next prime is 8040919. The reversal of 8040900 is 90408.

8040900 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14427 + ... + 14973.

Almost surely, 2^8040900 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 8040900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13556424).

8040900 is an abundant number, since it is smaller than the sum of its proper divisors (19071948).

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

8040900 is a wasteful number, since it uses less digits than its factorization.

8040900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 8040900 is about 2835.6480740741. The cubic root of 8040900 is about 200.3402541407.

The spelling of 8040900 in words is "eight million, forty thousand, nine hundred".