7873200 has 150 divisors (see below), whose sum is σ = 28372564. Its totient is φ = 2099520.

The previous prime is 7873183. The next prime is 7873213. The reversal of 7873200 is 23787.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1574638 + ... + 1574642.

Almost surely, 2^7873200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7873200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14186282).

7873200 is an abundant number, since it is smaller than the sum of its proper divisors (20499364).

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

7873200 is an frugal number, since it uses more digits than its factorization.

It is an anagram of its base 12 representation: 7873200 = (2778300)₁₂.

7873200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7873200 is about 2805.9223082616. The cubic root of 7873200 is about 198.9377009266.

Multiplying 7873200 by its sum of digits (27), we get a square (212576400 = 14580²).

7873200 divided by its sum of digits (27) gives a square (291600 = 540²).

Multiplying 7873200 by its product of nonzero digits (2352), we get a square (18517766400 = 136080²).

Adding to 7873200 its reverse (23787), we get a palindrome (7896987).

The spelling of 7873200 in words is "seven million, eight hundred seventy-three thousand, two hundred".