845828800 has 84 divisors (see below), whose sum is σ = 2148531136. Its totient is φ = 327398400.

The previous prime is 845828743. The next prime is 845828801. The reversal of 845828800 is 8828548.

It is a happy number.

845828800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (845828801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41074 + ... + 58126.

Almost surely, 2^845828800 is an apocalyptic number.

845828800 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 845828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074265568).

845828800 is an abundant number, since it is smaller than the sum of its proper divisors (1302702336).

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

845828800 is a wasteful number, since it uses less digits than its factorization.

845828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17106 (or 17091 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 43.

The square root of 845828800 is about 29083.1360069715. The cubic root of 845828800 is about 945.7161876733.

The spelling of 845828800 in words is "eight hundred forty-five million, eight hundred twenty-eight thousand, eight hundred".