813360 has 40 divisors (see below), whose sum is σ = 2522160. Its totient is φ = 216832.

The previous prime is 813343. The next prime is 813361. The reversal of 813360 is 63318.

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

It is not an unprimeable number, because it can be changed into a prime (813361) by changing a digit.

813360 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, 1455 + ... + 1934.

It is an arithmetic number, because the mean of its divisors is an integer number (63054).

2⁸¹³³⁶⁰ is an apocalyptic number.

813360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813360 is an abundant number, since it is smaller than the sum of its proper divisors (1708800).

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

813360 is a wasteful number, since it uses less digits than its factorization.

813360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 813360 is about 901.8647348688. The cubic root of 813360 is about 93.3456899740.

Adding to 813360 its reverse (63318), we get a palindrome (876678).

The spelling of 813360 in words is "eight hundred thirteen thousand, three hundred sixty".