846800 has 60 divisors (see below), whose sum is σ = 2133420. Its totient is φ = 322560.

The previous prime is 846779. The next prime is 846823. The reversal of 846800 is 8648.

It can be written as a sum of positive squares in 6 ways, for example, as 7744 + 839056 = 88^2 + 916^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 846800.

It is a congruent number.

It is an unprimeable number.

846800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11564 + ... + 11636.

It is an arithmetic number, because the mean of its divisors is an integer number (35557).

2⁸⁴⁶⁸⁰⁰ is an apocalyptic number.

846800 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 846800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066710).

846800 is an abundant number, since it is smaller than the sum of its proper divisors (1286620).

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

846800 is a wasteful number, since it uses less digits than its factorization.

846800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 846800 is about 920.2173656262. The cubic root of 846800 is about 94.6078013552.

The spelling of 846800 in words is "eight hundred forty-six thousand, eight hundred".