7981200 has 120 divisors (see below), whose sum is σ = 28445600. Its totient is φ = 2125440.

The previous prime is 7981189. The next prime is 7981223. The reversal of 7981200 is 21897.

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 (27).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10431 + ... + 11169.

Almost surely, 2^7981200 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 7981200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14222800).

7981200 is an abundant number, since it is smaller than the sum of its proper divisors (20464400).

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

7981200 is a wasteful number, since it uses less digits than its factorization.

7981200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 7981200 is about 2825.1017680785. The cubic root of 7981200 is about 199.8432104506.

The spelling of 7981200 in words is "seven million, nine hundred eighty-one thousand, two hundred".