812320 has 24 divisors (see below), whose sum is σ = 1919484. Its totient is φ = 324864.

The previous prime is 812309. The next prime is 812341. The reversal of 812320 is 23218.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 767376 + 44944 = 876^2 + 212^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 812294 and 812303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2379 + ... + 2698.

2⁸¹²³²⁰ is an apocalyptic number.

812320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812320 is an abundant number, since it is smaller than the sum of its proper divisors (1107164).

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

812320 is a wasteful number, since it uses less digits than its factorization.

812320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 812320 is about 901.2879673001. The cubic root of 812320 is about 93.3058876217.

Adding to 812320 its reverse (23218), we get a palindrome (835538).

It can be divided in two parts, 81 and 2320, that added together give a 4-th power (2401 = 7⁴).

The spelling of 812320 in words is "eight hundred twelve thousand, three hundred twenty".