8400056800 has 72 divisors (see below), whose sum is σ = 20541935232. Its totient is φ = 3354240000.

The previous prime is 8400056773. The next prime is 8400056839. The reversal of 8400056800 is 86500048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 472065 + ... + 489535.

It is an arithmetic number, because the mean of its divisors is an integer number (285304656).

Almost surely, 2^8400056800 is an apocalyptic number.

8400056800 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 8400056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10270967616).

8400056800 is an abundant number, since it is smaller than the sum of its proper divisors (12141878432).

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

8400056800 is a wasteful number, since it uses less digits than its factorization.

8400056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18092 (or 18079 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 8400056800 is about 91651.8237679971. The cubic root of 8400056800 is about 2032.7972954696.

Adding to 8400056800 its reverse (86500048), we get a palindrome (8486556848).

The spelling of 8400056800 in words is "eight billion, four hundred million, fifty-six thousand, eight hundred".