845287600 has 120 divisors (see below), whose sum is σ = 2164602528. Its totient is φ = 316108800.

The previous prime is 845287591. The next prime is 845287661. The reversal of 845287600 is 6782548.

845287600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×845287600² = 1429022253427520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1339285 + ... + 1339915.

Almost surely, 2^845287600 is an apocalyptic number.

845287600 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 845287600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082301264).

845287600 is an abundant number, since it is smaller than the sum of its proper divisors (1319314928).

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

845287600 is a wasteful number, since it uses less digits than its factorization.

845287600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 845287600 is about 29073.8301570330. The cubic root of 845287600 is about 945.5144404632.

The spelling of 845287600 in words is "eight hundred forty-five million, two hundred eighty-seven thousand, six hundred".