7728960 has 112 divisors (see below), whose sum is σ = 25091136. Its totient is φ = 2015232.

The previous prime is 7728923. The next prime is 7728983. The reversal of 7728960 is 698277.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79632 + ... + 79728.

It is an arithmetic number, because the mean of its divisors is an integer number (224028).

Almost surely, 2^7728960 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 7728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545568).

7728960 is an abundant number, since it is smaller than the sum of its proper divisors (17362176).

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

7728960 is a wasteful number, since it uses less digits than its factorization.

7728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 7728960 is about 2780.1007176000. The cubic root of 7728960 is about 197.7153342220.

The spelling of 7728960 in words is "seven million, seven hundred twenty-eight thousand, nine hundred sixty".