8886801600 has 588 divisors, whose sum is σ = 34597253640. Its totient is φ = 2239488000.

The previous prime is 8886801577. The next prime is 8886801607. The reversal of 8886801600 is 61086888.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (8886801607) 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 83 ways as a sum of consecutive naturals, for example, 22161400 + ... + 22161800.

Almost surely, 2^8886801600 is an apocalyptic number.

8886801600 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 8886801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298626820).

8886801600 is an abundant number, since it is smaller than the sum of its proper divisors (25710452040).

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

8886801600 is a wasteful number, since it uses less digits than its factorization.

8886801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 8886801600 is about 94269.8339873366. The cubic root of 8886801600 is about 2071.3261823124.

The spelling of 8886801600 in words is "eight billion, eight hundred eighty-six million, eight hundred one thousand, six hundred".