810320 has 40 divisors (see below), whose sum is σ = 2154624. Its totient is φ = 277632.

The previous prime is 810319. The next prime is 810343. The reversal of 810320 is 23018.

810320 is nontrivially palindromic in base 6.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 810295 and 810304.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 810320.

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, 164 + ... + 1283.

2⁸¹⁰³²⁰ is an apocalyptic number.

810320 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 810320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077312).

810320 is an abundant number, since it is smaller than the sum of its proper divisors (1344304).

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

810320 is a wasteful number, since it uses less digits than its factorization.

810320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 810320 is about 900.1777602229. The cubic root of 810320 is about 93.2292490489.

Adding to 810320 its reverse (23018), we get a palindrome (833338).

The spelling of 810320 in words is "eight hundred ten thousand, three hundred twenty".