7971680 has 24 divisors (see below), whose sum is σ = 18833472. Its totient is φ = 3188608.

The previous prime is 7971679. The next prime is 7971683. The reversal of 7971680 is 861797.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7971683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24752 + ... + 25071.

It is an arithmetic number, because the mean of its divisors is an integer number (784728).

Almost surely, 2^7971680 is an apocalyptic number.

It is an amenable number.

7971680 is an abundant number, since it is smaller than the sum of its proper divisors (10861792).

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

7971680 is a wasteful number, since it uses less digits than its factorization.

7971680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49838 (or 49830 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 7971680 is about 2823.4163702862. The cubic root of 7971680 is about 199.7637209710.

The spelling of 7971680 in words is "seven million, nine hundred seventy-one thousand, six hundred eighty".