813846000 has 480 divisors, whose sum is σ = 3087302400. Its totient is φ = 183744000.

The previous prime is 813845999. The next prime is 813846017. The reversal of 813846000 is 648318.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13793971 + ... + 13794029.

It is an arithmetic number, because the mean of its divisors is an integer number (6431880).

Almost surely, 2^813846000 is an apocalyptic number.

813846000 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 813846000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543651200).

813846000 is an abundant number, since it is smaller than the sum of its proper divisors (2273456400).

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

813846000 is a wasteful number, since it uses less digits than its factorization.

813846000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 813846000 is about 28527.9862591105. The cubic root of 813846000 is about 933.6427828772.

The spelling of 813846000 in words is "eight hundred thirteen million, eight hundred forty-six thousand".