7678960 has 20 divisors (see below), whose sum is σ = 17853768. Its totient is φ = 3071552.

The previous prime is 7678933. The next prime is 7678961. The reversal of 7678960 is 698767.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7678961) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 47914 + ... + 48073.

Almost surely, 2^7678960 is an apocalyptic number.

It is an amenable number.

7678960 is an abundant number, since it is smaller than the sum of its proper divisors (10174808).

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

7678960 is a wasteful number, since it uses less digits than its factorization.

7678960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96000 (or 95994 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 7678960 is about 2771.0936469199. The cubic root of 7678960 is about 197.2880597786.

It can be divided in two parts, 7678 and 960, that multiplied together give a triangular number (7370880 = T₃₈₃₉).

The spelling of 7678960 in words is "seven million, six hundred seventy-eight thousand, nine hundred sixty".