7986837760 has 144 divisors (see below), whose sum is σ = 21435607872. Its totient is φ = 2825625600.

The previous prime is 7986837671. The next prime is 7986837811. The reversal of 7986837760 is 677386897.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513295 + ... + 528625.

It is an arithmetic number, because the mean of its divisors is an integer number (148858388).

Almost surely, 2^7986837760 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 7986837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10717803936).

7986837760 is an abundant number, since it is smaller than the sum of its proper divisors (13448770112).

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

7986837760 is a wasteful number, since it uses less digits than its factorization.

7986837760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15400 (or 15386 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 61.

The square root of 7986837760 is about 89369.1096520492. The cubic root of 7986837760 is about 1998.9025445726.

The spelling of 7986837760 in words is "seven billion, nine hundred eighty-six million, eight hundred thirty-seven thousand, seven hundred sixty".