7680160 has 48 divisors (see below), whose sum is σ = 18942336. Its totient is φ = 2937088.

The previous prime is 7680149. The next prime is 7680173. The reversal of 7680160 is 610867.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2637 + ... + 4723.

It is an arithmetic number, because the mean of its divisors is an integer number (394632).

Almost surely, 2^7680160 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 7680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9471168).

7680160 is an abundant number, since it is smaller than the sum of its proper divisors (11262176).

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

7680160 is a wasteful number, since it uses less digits than its factorization.

7680160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 7680160 is about 2771.3101594733. The cubic root of 7680160 is about 197.2983360547.

The spelling of 7680160 in words is "seven million, six hundred eighty thousand, one hundred sixty".