813840300 has 432 divisors, whose sum is σ = 3311176960. Its totient is φ = 162362880.

The previous prime is 813840299. The next prime is 813840301. The reversal of 813840300 is 3048318.

It is an interprime number because it is at equal distance from previous prime (813840299) and next prime (813840301).

It is not an unprimeable number, because it can be changed into a prime (813840301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1555839 + ... + 1556361.

Almost surely, 2^813840300 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 813840300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655588480).

813840300 is an abundant number, since it is smaller than the sum of its proper divisors (2497336660).

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

813840300 is a wasteful number, since it uses less digits than its factorization.

813840300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 813840300 is about 28527.8863570367. The cubic root of 813840300 is about 933.6406031953.

Adding to 813840300 its reverse (3048318), we get a palindrome (816888618).

The spelling of 813840300 in words is "eight hundred thirteen million, eight hundred forty thousand, three hundred".