810880 has 64 divisors (see below), whose sum is σ = 2227680. Its totient is φ = 276480.

The previous prime is 810871. The next prime is 810881. The reversal of 810880 is 88018.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810881) by changing a digit.

810880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4390 + ... + 4570.

2⁸¹⁰⁸⁸⁰ is an apocalyptic number.

810880 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 810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113840).

810880 is an abundant number, since it is smaller than the sum of its proper divisors (1416800).

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

810880 is a wasteful number, since it uses less digits than its factorization.

810880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 810880 is about 900.4887561763. The cubic root of 810880 is about 93.2507205487.

Adding to 810880 its reverse (88018), we get a palindrome (898898).

The spelling of 810880 in words is "eight hundred ten thousand, eight hundred eighty".