8806875600 has 120 divisors (see below), whose sum is σ = 28262963872. Its totient is φ = 2344204800.

The previous prime is 8806875599. The next prime is 8806875607. The reversal of 8806875600 is 65786088.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×8806875600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8806875600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8806875607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678774 + ... + 691626.

Almost surely, 2^8806875600 is an apocalyptic number.

8806875600 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 8806875600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14131481936).

8806875600 is an abundant number, since it is smaller than the sum of its proper divisors (19456088272).

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

8806875600 is a wasteful number, since it uses less digits than its factorization.

8806875600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13445 (or 13434 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 8806875600 is about 93844.9551121423. The cubic root of 8806875600 is about 2065.0977837524.

The spelling of 8806875600 in words is "eight billion, eight hundred six million, eight hundred seventy-five thousand, six hundred".