890800 has 60 divisors (see below), whose sum is σ = 2283336. Its totient is φ = 332800.

The previous prime is 890797. The next prime is 890803. The reversal of 890800 is 8098.

It is an interprime number because it is at equal distance from previous prime (890797) and next prime (890803).

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

It is not an unprimeable number, because it can be changed into a prime (890803) 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, 6735 + ... + 6865.

2⁸⁹⁰⁸⁰⁰ is an apocalyptic number.

890800 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 890800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141668).

890800 is an abundant number, since it is smaller than the sum of its proper divisors (1392536).

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

890800 is a wasteful number, since it uses less digits than its factorization.

890800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 890800 is about 943.8220171198. The cubic root of 890800 is about 96.2188295085.

Adding to 890800 its reverse (8098), we get a palindrome (898898).

The spelling of 890800 in words is "eight hundred ninety thousand, eight hundred".