887200 has 36 divisors (see below), whose sum is σ = 2167830. Its totient is φ = 354560.

The previous prime is 887191. The next prime is 887203. The reversal of 887200 is 2788.

887200 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 3 ways, for example, as 374544 + 512656 = 612^2 + 716^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (887203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 246 + ... + 1354.

2⁸⁸⁷²⁰⁰ is an apocalyptic number.

887200 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 887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083915).

887200 is an abundant number, since it is smaller than the sum of its proper divisors (1280630).

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

887200 is a wasteful number, since it uses less digits than its factorization.

887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 887200 is about 941.9129471453. The cubic root of 887200 is about 96.0890377644.

Adding to 887200 its reverse (2788), we get a palindrome (889988).

The spelling of 887200 in words is "eight hundred eighty-seven thousand, two hundred".