7987903560 has 768 divisors, whose sum is σ = 35369913600. Its totient is φ = 1583898624.

The previous prime is 7987903549. The next prime is 7987903603. The reversal of 7987903560 is 653097897.

7987903560 is a `hidden beast` number, since 7 + 9 + 8 + 79 + 0 + 3 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7987903497 and 7987903506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11694979 + ... + 11695661.

It is an arithmetic number, because the mean of its divisors is an integer number (46054575).

Almost surely, 2^7987903560 is an apocalyptic number.

7987903560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7987903560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17684956800).

7987903560 is an abundant number, since it is smaller than the sum of its proper divisors (27382010040).

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

7987903560 is a wasteful number, since it uses less digits than its factorization.

7987903560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 7987903560 is about 89375.0723636071. The cubic root of 7987903560 is about 1998.9914548371.

The spelling of 7987903560 in words is "seven billion, nine hundred eighty-seven million, nine hundred three thousand, five hundred sixty".