8856000400 has 360 divisors, whose sum is σ = 24980526144. Its totient is φ = 2997657600.

The previous prime is 8856000379. The next prime is 8856000407. The reversal of 8856000400 is 40006588.

It is not an unprimeable number, because it can be changed into a prime (8856000407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106698759 + ... + 106698841.

Almost surely, 2^8856000400 is an apocalyptic number.

8856000400 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 8856000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12490263072).

8856000400 is an abundant number, since it is smaller than the sum of its proper divisors (16124525744).

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

8856000400 is a wasteful number, since it uses less digits than its factorization.

8856000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 191 counting only the distinct ones).

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

The square root of 8856000400 is about 94106.3249734044. The cubic root of 8856000400 is about 2068.9303753788.

Adding to 8856000400 its reverse (40006588), we get a palindrome (8896006988).

The spelling of 8856000400 in words is "eight billion, eight hundred fifty-six million, four hundred", and thus it is an aban number.