827786006765 has 16 divisors (see below), whose sum is σ = 995849956416. Its totient is φ = 660559536000.

The previous prime is 827786006743. The next prime is 827786006767. The reversal of 827786006765 is 567600687728.

It is a de Polignac number, because none of the positive numbers 2^k-827786006765 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 827786006698 and 827786006707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827786006767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3401234 + ... + 3636476.

It is an arithmetic number, because the mean of its divisors is an integer number (62240622276).

Almost surely, 2^827786006765 is an apocalyptic number.

It is an amenable number.

827786006765 is a deficient number, since it is larger than the sum of its proper divisors (168063949651).

827786006765 is a wasteful number, since it uses less digits than its factorization.

827786006765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237020.

The product of its (nonzero) digits is 47416320, while the sum is 62.

The spelling of 827786006765 in words is "eight hundred twenty-seven billion, seven hundred eighty-six million, six thousand, seven hundred sixty-five".