810080 has 48 divisors (see below), whose sum is σ = 1968624. Its totient is φ = 314880.

The previous prime is 810079. The next prime is 810091. The reversal of 810080 is 80018.

It is a happy number.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9719 + ... + 9801.

It is an arithmetic number, because the mean of its divisors is an integer number (41013).

2⁸¹⁰⁰⁸⁰ is an apocalyptic number.

810080 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 810080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984312).

810080 is an abundant number, since it is smaller than the sum of its proper divisors (1158544).

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

810080 is a wasteful number, since it uses less digits than its factorization.

810080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 810080 is about 900.0444433471. The cubic root of 810080 is about 93.2200439492.

Adding to 810080 its reverse (80018), we get a palindrome (890098).

The spelling of 810080 in words is "eight hundred ten thousand, eighty".