7871200 has 36 divisors (see below), whose sum is σ = 19217520. Its totient is φ = 3148160.

The previous prime is 7871197. The next prime is 7871203. The reversal of 7871200 is 21787.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7871197) and next prime (7871203).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7871203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4120 + ... + 5719.

It is an arithmetic number, because the mean of its divisors is an integer number (533820).

Almost surely, 2^7871200 is an apocalyptic number.

It is an amenable number.

7871200 is an abundant number, since it is smaller than the sum of its proper divisors (11346320).

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

7871200 is a wasteful number, since it uses less digits than its factorization.

7871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9859 (or 9846 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 7871200 is about 2805.5658965706. The cubic root of 7871200 is about 198.9208543628.

Adding to 7871200 its reverse (21787), we get a palindrome (7892987).

The spelling of 7871200 in words is "seven million, eight hundred seventy-one thousand, two hundred".