813120 has 168 divisors, whose sum is σ = 3243072. Its totient is φ = 168960.

The previous prime is 813107. The next prime is 813121. The reversal of 813120 is 21318.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×813120² = 1322328268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 813120.

It is not an unprimeable number, because it can be changed into a prime (813121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73915 + ... + 73925.

It is an arithmetic number, because the mean of its divisors is an integer number (19304).

2⁸¹³¹²⁰ is an apocalyptic number.

813120 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 813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621536).

813120 is an abundant number, since it is smaller than the sum of its proper divisors (2429952).

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

813120 is a wasteful number, since it uses less digits than its factorization.

813120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 813120 is about 901.7316674044. The cubic root of 813120 is about 93.3365078285.

Adding to 813120 its reverse (21318), we get a palindrome (834438).

The spelling of 813120 in words is "eight hundred thirteen thousand, one hundred twenty".