845200 has 30 divisors (see below), whose sum is σ = 2031554. Its totient is φ = 337920.

The previous prime is 845197. The next prime is 845203. The reversal of 845200 is 2548.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (845197) and next prime (845203).

It can be written as a sum of positive squares in 3 ways, for example, as 13456 + 831744 = 116^2 + 912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 657 + ... + 1456.

2⁸⁴⁵²⁰⁰ is an apocalyptic number.

845200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

845200 is an abundant number, since it is smaller than the sum of its proper divisors (1186354).

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

845200 is a wasteful number, since it uses less digits than its factorization.

845200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 845200 is about 919.3475947649. The cubic root of 845200 is about 94.5481777053.

Adding to 845200 its reverse (2548), we get a palindrome (847748).

The spelling of 845200 in words is "eight hundred forty-five thousand, two hundred".