7681960 has 128 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 2396160.

The previous prime is 7681939. The next prime is 7681969. The reversal of 7681960 is 691867.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7681969) 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 31 ways as a sum of consecutive naturals, for example, 97201 + ... + 97279.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 2^7681960 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 7681960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

7681960 is an abundant number, since it is smaller than the sum of its proper divisors (14090840).

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

7681960 is a wasteful number, since it uses less digits than its factorization.

7681960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 7681960 is about 2771.6348965908. The cubic root of 7681960 is about 197.3137484621.

The spelling of 7681960 in words is "seven million, six hundred eighty-one thousand, nine hundred sixty".