851200 has 108 divisors (see below), whose sum is σ = 2534560. Its totient is φ = 276480.

The previous prime is 851197. The next prime is 851203. The reversal of 851200 is 2158.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (851197) and next prime (851203).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851203) 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, 44791 + ... + 44809.

2⁸⁵¹²⁰⁰ is an apocalyptic number.

851200 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 851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267280).

851200 is an abundant number, since it is smaller than the sum of its proper divisors (1683360).

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

851200 is a wasteful number, since it uses less digits than its factorization.

851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 851200 is about 922.6050075737. The cubic root of 851200 is about 94.7713800863.

Adding to 851200 its reverse (2158), we get a palindrome (853358).

It can be divided in two parts, 8 and 51200, that multiplied together give a square (409600 = 640²).

The spelling of 851200 in words is "eight hundred fifty-one thousand, two hundred".