82706516272767 has 8 divisors (see below), whose sum is σ = 110627672459824. Its totient is φ = 54961518800448.

The previous prime is 82706516272669. The next prime is 82706516272811. The reversal of 82706516272767 is 76727261560728.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82706516272767 - 2²⁴ = 82706499495551 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82706516272698 and 82706516272707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82706516202767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44039677588 + ... + 44039679465.

It is an arithmetic number, because the mean of its divisors is an integer number (13828459057478).

Almost surely, 2^{82706516272767} is an apocalyptic number.

82706516272767 is a deficient number, since it is larger than the sum of its proper divisors (27921156187057).

82706516272767 is a wasteful number, since it uses less digits than its factorization.

82706516272767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88079357369.

The product of its (nonzero) digits is 165957120, while the sum is 66.

The spelling of 82706516272767 in words is "eighty-two trillion, seven hundred six billion, five hundred sixteen million, two hundred seventy-two thousand, seven hundred sixty-seven".