7681200 has 120 divisors (see below), whose sum is σ = 25416528. Its totient is φ = 1981440.

The previous prime is 7681199. The next prime is 7681213. The reversal of 7681200 is 21867.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44314 + ... + 44486.

Almost surely, 2^7681200 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 7681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12708264).

7681200 is an abundant number, since it is smaller than the sum of its proper divisors (17735328).

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

7681200 is a wasteful number, since it uses less digits than its factorization.

7681200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 7681200 is about 2771.4977900045. The cubic root of 7681200 is about 197.3072412949.

It can be divided in two parts, 768 and 1200, that multiplied together give a square (921600 = 960²).

The spelling of 7681200 in words is "seven million, six hundred eighty-one thousand, two hundred".