7871680 has 56 divisors (see below), whose sum is σ = 19860768. Its totient is φ = 2961408.

The previous prime is 7871671. The next prime is 7871707. The reversal of 7871680 is 861787.

It is a happy number.

It is a zygodrome in base 2.

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, 4717 + ... + 6163.

Almost surely, 2^7871680 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 7871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9930384).

7871680 is an abundant number, since it is smaller than the sum of its proper divisors (11989088).

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

7871680 is a wasteful number, since it uses less digits than its factorization.

7871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The square root of 7871680 is about 2805.6514395056. The cubic root of 7871680 is about 198.9248977984.

The spelling of 7871680 in words is "seven million, eight hundred seventy-one thousand, six hundred eighty".