8888800 has 72 divisors (see below), whose sum is σ = 22311072. Its totient is φ = 3456000.

The previous prime is 8888791. The next prime is 8888801. The reversal of 8888800 is 88888.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8888801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32665 + ... + 32935.

It is an arithmetic number, because the mean of its divisors is an integer number (309876).

Almost surely, 2^8888800 is an apocalyptic number.

8888800 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 8888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11155536).

8888800 is an abundant number, since it is smaller than the sum of its proper divisors (13422272).

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

8888800 is a wasteful number, since it uses less digits than its factorization.

8888800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 40.

The square root of 8888800 is about 2981.4090628426. The cubic root of 8888800 is about 207.1481432318.

Multiplying 8888800 by its reverse (88888), we get a square (790107654400 = 888880²).

8888800 divided by its reverse (88888) gives a square (100 = 10²).

It can be divided in two parts, 88 and 88800, that added together give a palindrome (88888).

The spelling of 8888800 in words is "eight million, eight hundred eighty-eight thousand, eight hundred".