8056400 has 60 divisors (see below), whose sum is σ = 21126624. Its totient is φ = 2928000.

The previous prime is 8056393. The next prime is 8056409. The reversal of 8056400 is 46508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8056409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3485 + ... + 5315.

Almost surely, 2^8056400 is an apocalyptic number.

8056400 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 8056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10563312).

8056400 is an abundant number, since it is smaller than the sum of its proper divisors (13070224).

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

8056400 is a wasteful number, since it uses less digits than its factorization.

8056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 8056400 is about 2838.3798195449. The cubic root of 8056400 is about 200.4688998057.

The spelling of 8056400 in words is "eight million, fifty-six thousand, four hundred".