7861200 has 60 divisors (see below), whose sum is σ = 25185888. Its totient is φ = 2096000.

The previous prime is 7861181. The next prime is 7861201. The reversal of 7861200 is 21687.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7861201) 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, 2076 + ... + 4475.

Almost surely, 2^7861200 is an apocalyptic number.

It is an amenable number.

7861200 is an abundant number, since it is smaller than the sum of its proper divisors (17324688).

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

7861200 is a wasteful number, since it uses less digits than its factorization.

7861200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6572 (or 6561 counting only the distinct ones).

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

The square root of 7861200 is about 2803.7831585199. The cubic root of 7861200 is about 198.8365787108.

Adding to 7861200 its reverse (21687), we get a palindrome (7882887).

The spelling of 7861200 in words is "seven million, eight hundred sixty-one thousand, two hundred".