873200 has 60 divisors (see below), whose sum is σ = 2191080. Its totient is φ = 334080.

The previous prime is 873157. The next prime is 873209. The reversal of 873200 is 2378.

873200 = T₈₄ + T₈₅ + ... + T₁₇₉.

873200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873209) 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, 14771 + ... + 14829.

It is an arithmetic number, because the mean of its divisors is an integer number (36518).

2⁸⁷³²⁰⁰ is an apocalyptic number.

873200 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 873200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095540).

873200 is an abundant number, since it is smaller than the sum of its proper divisors (1317880).

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

873200 is a wasteful number, since it uses less digits than its factorization.

873200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 873200 is about 934.4517108979. The cubic root of 873200 is about 95.5809279018.

873200 divided by its sum of digits (20) gives a triangular number (43660 = T₂₉₅).

Adding to 873200 its reverse (2378), we get a palindrome (875578).

The spelling of 873200 in words is "eight hundred seventy-three thousand, two hundred".