813319720 has 64 divisors (see below), whose sum is σ = 1921190400. Its totient is φ = 309469440.

The previous prime is 813319709. The next prime is 813319723. The reversal of 813319720 is 27913318.

It is a super-3 number, since 3×813319720³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (813319723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67602 + ... + 78718.

It is an arithmetic number, because the mean of its divisors is an integer number (30018600).

Almost surely, 2^813319720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813319720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960595200).

813319720 is an abundant number, since it is smaller than the sum of its proper divisors (1107870680).

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

813319720 is a wasteful number, since it uses less digits than its factorization.

813319720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11218 (or 11214 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 813319720 is about 28518.7608426453. The cubic root of 813319720 is about 933.4414903005.

The spelling of 813319720 in words is "eight hundred thirteen million, three hundred nineteen thousand, seven hundred twenty".