8897882400 has 1008 divisors, whose sum is σ = 37911011040. Its totient is φ = 2015539200.

The previous prime is 8897882387. The next prime is 8897882407. The reversal of 8897882400 is 42887988.

It is a super-2 number, since 2×8897882400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8897882407) 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 167 ways as a sum of consecutive naturals, for example, 121888764 + ... + 121888836.

It is an arithmetic number, because the mean of its divisors is an integer number (37610130).

Almost surely, 2^8897882400 is an apocalyptic number.

8897882400 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 8897882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18955505520).

8897882400 is an abundant number, since it is smaller than the sum of its proper divisors (29013128640).

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

8897882400 is a wasteful number, since it uses less digits than its factorization.

8897882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 8897882400 is about 94328.5873953384. The cubic root of 8897882400 is about 2072.1867250712.

The spelling of 8897882400 in words is "eight billion, eight hundred ninety-seven million, eight hundred eighty-two thousand, four hundred".