813538000 has 80 divisors (see below), whose sum is σ = 2146023360. Its totient is φ = 295824000.

The previous prime is 813537979. The next prime is 813538001. The reversal of 813538000 is 835318.

813538000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 813538000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813538001) 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, 3511 + ... + 40489.

It is an arithmetic number, because the mean of its divisors is an integer number (26825292).

Almost surely, 2^813538000 is an apocalyptic number.

813538000 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 813538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073011680).

813538000 is an abundant number, since it is smaller than the sum of its proper divisors (1332485360).

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

813538000 is a wasteful number, since it uses less digits than its factorization.

813538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37013 (or 36997 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 813538000 is about 28522.5875404038. The cubic root of 813538000 is about 933.5249889864.

The spelling of 813538000 in words is "eight hundred thirteen million, five hundred thirty-eight thousand".