813850320 has 80 divisors (see below), whose sum is σ = 2539123200. Its totient is φ = 215634432.

The previous prime is 813850309. The next prime is 813850321. The reversal of 813850320 is 23058318.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813850321) 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, 26881 + ... + 48479.

It is an arithmetic number, because the mean of its divisors is an integer number (31739040).

Almost surely, 2^813850320 is an apocalyptic number.

813850320 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 813850320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269561600).

813850320 is an abundant number, since it is smaller than the sum of its proper divisors (1725272880).

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

813850320 is a wasteful number, since it uses less digits than its factorization.

813850320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21772 (or 21766 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 813850320 is about 28528.0619741335. The cubic root of 813850320 is about 933.6444348399.

The spelling of 813850320 in words is "eight hundred thirteen million, eight hundred fifty thousand, three hundred twenty".