846676800 has 420 divisors, whose sum is σ = 3201253440. Its totient is φ = 219386880.

The previous prime is 846676799. The next prime is 846676801. The reversal of 846676800 is 8676648.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (846676799) and next prime (846676801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846676801) 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 59 ways as a sum of consecutive naturals, for example, 6091131 + ... + 6091269.

It is an arithmetic number, because the mean of its divisors is an integer number (7622032).

Almost surely, 2^846676800 is an apocalyptic number.

846676800 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 846676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600626720).

846676800 is an abundant number, since it is smaller than the sum of its proper divisors (2354576640).

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

846676800 is a wasteful number, since it uses less digits than its factorization.

846676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 846676800 is about 29097.7112501997. The cubic root of 846676800 is about 946.0321300436.

The spelling of 846676800 in words is "eight hundred forty-six million, six hundred seventy-six thousand, eight hundred".