7660085760 has 800 divisors, whose sum is σ = 30319903152. Its totient is φ = 1840250880.

The previous prime is 7660085689. The next prime is 7660085773. The reversal of 7660085760 is 675800667.

7660085760 is a `hidden beast` number, since 76 + 6 + 0 + 0 + 8 + 576 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3137792256 + 4522293504 = 56016^2 + 67248^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 144529894 + ... + 144529946.

Almost surely, 2^7660085760 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 7660085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15159951576).

7660085760 is an abundant number, since it is smaller than the sum of its proper divisors (22659817392).

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

7660085760 is a wasteful number, since it uses less digits than its factorization.

7660085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7660085760 is about 87521.9158839659. The cubic root of 7660085760 is about 1971.2628799445.

The spelling of 7660085760 in words is "seven billion, six hundred sixty million, eighty-five thousand, seven hundred sixty".