8045400 has 192 divisors, whose sum is σ = 28926720. Its totient is φ = 1830400.

The previous prime is 8045393. The next prime is 8045419. The reversal of 8045400 is 45408.

8045400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8045400² = 129456922320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151774 + ... + 151826.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

Almost surely, 2^8045400 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 8045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

8045400 is an abundant number, since it is smaller than the sum of its proper divisors (20881320).

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

8045400 is a wasteful number, since it uses less digits than its factorization.

8045400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

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

The square root of 8045400 is about 2836.4414324995. The cubic root of 8045400 is about 200.3776199007.

The spelling of 8045400 in words is "eight million, forty-five thousand, four hundred".