7887360 has 160 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 1916928.

The previous prime is 7887359. The next prime is 7887403. The reversal of 7887360 is 637887.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 99801 + ... + 99879.

It is an arithmetic number, because the mean of its divisors is an integer number (171864).

Almost surely, 2^7887360 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 7887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

7887360 is an abundant number, since it is smaller than the sum of its proper divisors (19610880).

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

7887360 is a wasteful number, since it uses less digits than its factorization.

7887360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 7887360 is about 2808.4444092771. Note that the first 4 decimals coincide. The cubic root of 7887360 is about 199.0568930703.

The spelling of 7887360 in words is "seven million, eight hundred eighty-seven thousand, three hundred sixty".