7082105680 has 40 divisors (see below), whose sum is σ = 17732505672. Its totient is φ = 2614930944.

The previous prime is 7082105677. The next prime is 7082105711. The reversal of 7082105680 is 865012807.

It can be written as a sum of positive squares in 4 ways, for example, as 460703296 + 6621402384 = 21464^2 + 81372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3403819 + ... + 3405898.

Almost surely, 2^7082105680 is an apocalyptic number.

It is an amenable number.

7082105680 is an abundant number, since it is smaller than the sum of its proper divisors (10650399992).

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

7082105680 is a wasteful number, since it uses less digits than its factorization.

7082105680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809743 (or 6809737 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 7082105680 is about 84155.2474893871. The cubic root of 7082105680 is about 1920.3812972468.

The spelling of 7082105680 in words is "seven billion, eighty-two million, one hundred five thousand, six hundred eighty".