845285600 has 72 divisors (see below), whose sum is σ = 2107552608. Its totient is φ = 330905600.

The previous prime is 845285579. The next prime is 845285603. The reversal of 845285600 is 6582548.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845285603) 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, 26360 + ... + 48840.

It is an arithmetic number, because the mean of its divisors is an integer number (29271564).

Almost surely, 2^845285600 is an apocalyptic number.

845285600 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 845285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053776304).

845285600 is an abundant number, since it is smaller than the sum of its proper divisors (1262267008).

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

845285600 is a wasteful number, since it uses less digits than its factorization.

845285600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22548 (or 22535 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 845285600 is about 29073.7957618196. The cubic root of 845285600 is about 945.5136947484.

The spelling of 845285600 in words is "eight hundred forty-five million, two hundred eighty-five thousand, six hundred".