813799305 has 80 divisors (see below), whose sum is σ = 1646568000. Its totient is φ = 380903040.

The previous prime is 813799297. The next prime is 813799309. The reversal of 813799305 is 503997318.

It is a happy number.

It is not a de Polignac number, because 813799305 - 2³ = 813799297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (813799309) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 126046 + ... + 132344.

It is an arithmetic number, because the mean of its divisors is an integer number (20582100).

Almost surely, 2^813799305 is an apocalyptic number.

It is an amenable number.

813799305 is an abundant number, since it is smaller than the sum of its proper divisors (832768695).

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

813799305 is a wasteful number, since it uses less digits than its factorization.

813799305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6356 (or 6347 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 813799305 is about 28527.1678404990. The cubic root of 813799305 is about 933.6249263935.

The spelling of 813799305 in words is "eight hundred thirteen million, seven hundred ninety-nine thousand, three hundred five".