7888960 has 56 divisors (see below), whose sum is σ = 19065240. Its totient is φ = 3108864.

The previous prime is 7888921. The next prime is 7888981. The reversal of 7888960 is 698887.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 7884864 = 64^2 + 2808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7888960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28342 + ... + 28618.

Almost surely, 2^7888960 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 7888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9532620).

7888960 is an abundant number, since it is smaller than the sum of its proper divisors (11176280).

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

7888960 is a wasteful number, since it uses less digits than its factorization.

7888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 7888960 is about 2808.7292500346. The cubic root of 7888960 is about 199.0703521363.

The spelling of 7888960 in words is "seven million, eight hundred eighty-eight thousand, nine hundred sixty".