813747120 has 80 divisors (see below), whose sum is σ = 2541132000. Its totient is φ = 215406592.

The previous prime is 813747119. The next prime is 813747191. The reversal of 813747120 is 21747318.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20506 + ... + 45254.

It is an arithmetic number, because the mean of its divisors is an integer number (31764150).

Almost surely, 2^813747120 is an apocalyptic number.

813747120 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 813747120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270566000).

813747120 is an abundant number, since it is smaller than the sum of its proper divisors (1727384880).

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

813747120 is a wasteful number, since it uses less digits than its factorization.

813747120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24902 (or 24896 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 813747120 is about 28526.2531714209. The cubic root of 813747120 is about 933.6049696884.

The spelling of 813747120 in words is "eight hundred thirteen million, seven hundred forty-seven thousand, one hundred twenty".