813727260 has 72 divisors (see below), whose sum is σ = 2477835360. Its totient is φ = 216156288.

The previous prime is 813727241. The next prime is 813727279. The reversal of 813727260 is 62727318.

It is an interprime number because it is at equal distance from previous prime (813727241) and next prime (813727279).

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 23 ways as a sum of consecutive naturals, for example, 38746 + ... + 55934.

It is an arithmetic number, because the mean of its divisors is an integer number (34414380).

Almost surely, 2^813727260 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 813727260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238917680).

813727260 is an abundant number, since it is smaller than the sum of its proper divisors (1664108100).

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

813727260 is a wasteful number, since it uses less digits than its factorization.

813727260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17467 (or 17462 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 813727260 is about 28525.9050689018. The cubic root of 813727260 is about 933.5973745584.

The spelling of 813727260 in words is "eight hundred thirteen million, seven hundred twenty-seven thousand, two hundred sixty".