845536800 has 144 divisors (see below), whose sum is σ = 2761510752. Its totient is φ = 224716800.

The previous prime is 845536793. The next prime is 845536801. The reversal of 845536800 is 8635548.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (845536801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1370092 + ... + 1370708.

It is an arithmetic number, because the mean of its divisors is an integer number (19177158).

Almost surely, 2^845536800 is an apocalyptic number.

845536800 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 845536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380755376).

845536800 is an abundant number, since it is smaller than the sum of its proper divisors (1915973952).

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

845536800 is a wasteful number, since it uses less digits than its factorization.

845536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 845536800 is about 29078.1154822660. The cubic root of 845536800 is about 945.6073473222.

The spelling of 845536800 in words is "eight hundred forty-five million, five hundred thirty-six thousand, eight hundred".