8887132800 has 576 divisors, whose sum is σ = 39040834560. Its totient is φ = 1874534400.

The previous prime is 8887132799. The next prime is 8887132811. The reversal of 8887132800 is 82317888.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×8887132800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2619105 + ... + 2622495.

Almost surely, 2^8887132800 is an apocalyptic number.

8887132800 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 8887132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19520417280).

8887132800 is an abundant number, since it is smaller than the sum of its proper divisors (30153701760).

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

8887132800 is a wasteful number, since it uses less digits than its factorization.

8887132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 8887132800 is about 94271.5906304757. The cubic root of 8887132800 is about 2071.3519139063.

The spelling of 8887132800 in words is "eight billion, eight hundred eighty-seven million, one hundred thirty-two thousand, eight hundred".