7887120 has 80 divisors (see below), whose sum is σ = 24909120. Its totient is φ = 2063872.

The previous prime is 7887097. The next prime is 7887149. The reversal of 7887120 is 217887.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13882 + ... + 14438.

It is an arithmetic number, because the mean of its divisors is an integer number (311364).

Almost surely, 2^7887120 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 7887120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454560).

7887120 is an abundant number, since it is smaller than the sum of its proper divisors (17022000).

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

7887120 is a wasteful number, since it uses less digits than its factorization.

7887120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 7887120 is about 2808.4016806718. The cubic root of 7887120 is about 199.0548740534.

The spelling of 7887120 in words is "seven million, eight hundred eighty-seven thousand, one hundred twenty".