813010320 has 120 divisors (see below), whose sum is σ = 2797055352. Its totient is φ = 211507200.

The previous prime is 813010249. The next prime is 813010327. The reversal of 813010320 is 23010318.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 812934144 = 276^2 + 28512^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 813010293 and 813010302.

It is not an unprimeable number, because it can be changed into a prime (813010327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15750 + ... + 43290.

Almost surely, 2^813010320 is an apocalyptic number.

813010320 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 813010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398527676).

813010320 is an abundant number, since it is smaller than the sum of its proper divisors (1984045032).

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

813010320 is a wasteful number, since it uses less digits than its factorization.

813010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27601 (or 27592 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 813010320 is about 28513.3358272932. The cubic root of 813010320 is about 933.3231098653.

Adding to 813010320 its reverse (23010318), we get a palindrome (836020638).

The spelling of 813010320 in words is "eight hundred thirteen million, ten thousand, three hundred twenty".