888800 has 72 divisors (see below), whose sum is σ = 2390472. Its totient is φ = 320000.

The previous prime is 888799. The next prime is 888809. The reversal of 888800 is 8888.

888800 = T₁₆₃ + T₁₆₄ + ... + T₂₁₂.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 (888809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8750 + ... + 8850.

It is an arithmetic number, because the mean of its divisors is an integer number (33201).

2⁸⁸⁸⁸⁰⁰ is an apocalyptic number.

888800 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 888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195236).

888800 is an abundant number, since it is smaller than the sum of its proper divisors (1501672).

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

888800 is a wasteful number, since it uses less digits than its factorization.

888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 888800 is about 942.7618999514. The cubic root of 888800 is about 96.1467662479.

Multiplying 888800 by its reverse (8888), we get a square (7899654400 = 88880²).

888800 divided by its reverse (8888) gives a square (100 = 10²).

It can be divided in two parts, 88 and 8800, that multiplied together give a square (774400 = 880²).

The spelling of 888800 in words is "eight hundred eighty-eight thousand, eight hundred".