7986087720 has 192 divisors, whose sum is σ = 28546801920. Its totient is φ = 1923927552.

The previous prime is 7986087691. The next prime is 7986087751. The reversal of 7986087720 is 277806897.

7986087720 is a `hidden beast` number, since 7 + 9 + 8 + 608 + 7 + 7 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201807 + ... + 238113.

It is an arithmetic number, because the mean of its divisors is an integer number (148681260).

Almost surely, 2^7986087720 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 7986087720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14273400960).

7986087720 is an abundant number, since it is smaller than the sum of its proper divisors (20560714200).

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

7986087720 is a wasteful number, since it uses less digits than its factorization.

7986087720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36384 (or 36377 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 7986087720 is about 89364.9132489928. The cubic root of 7986087720 is about 1998.8399706293.

The spelling of 7986087720 in words is "seven billion, nine hundred eighty-six million, eighty-seven thousand, seven hundred twenty".