813687120 has 200 divisors, whose sum is σ = 2844758400. Its totient is φ = 215550720.

The previous prime is 813687067. The next prime is 813687137. The reversal of 813687120 is 21786318.

813687120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1289205 + ... + 1289835.

It is an arithmetic number, because the mean of its divisors is an integer number (14223792).

Almost surely, 2^813687120 is an apocalyptic number.

813687120 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 813687120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422379200).

813687120 is an abundant number, since it is smaller than the sum of its proper divisors (2031071280).

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

813687120 is a wasteful number, since it uses less digits than its factorization.

813687120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 813687120 is about 28525.2014892095. The cubic root of 813687120 is about 933.5820232990.

It can be divided in two parts, 81368 and 7120, that added together give a palindrome (88488).

The spelling of 813687120 in words is "eight hundred thirteen million, six hundred eighty-seven thousand, one hundred twenty".