813345120 has 216 divisors, whose sum is σ = 3228969744. Its totient is φ = 185891328.

The previous prime is 813345077. The next prime is 813345157. The reversal of 813345120 is 21543318.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 64797 + ... + 76323.

It is an arithmetic number, because the mean of its divisors is an integer number (14948934).

Almost surely, 2^813345120 is an apocalyptic number.

813345120 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 813345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614484872).

813345120 is an abundant number, since it is smaller than the sum of its proper divisors (2415624624).

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

813345120 is a wasteful number, since it uses less digits than its factorization.

813345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11562 (or 11544 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 813345120 is about 28519.2061600599. The cubic root of 813345120 is about 933.4512073349.

Adding to 813345120 its reverse (21543318), we get a palindrome (834888438).

The spelling of 813345120 in words is "eight hundred thirteen million, three hundred forty-five thousand, one hundred twenty".