82766087739 has 32 divisors (see below), whose sum is σ = 129490592000. Its totient is φ = 52102948032.

The previous prime is 82766087689. The next prime is 82766087791. The reversal of 82766087739 is 93778066728.

It is not a de Polignac number, because 82766087739 - 2¹⁷ = 82765956667 is a prime.

It is a super-2 number, since 2×82766087739² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82766085739) 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 31 ways as a sum of consecutive naturals, for example, 105274 + ... + 420255.

It is an arithmetic number, because the mean of its divisors is an integer number (4046581000).

Almost surely, 2^82766087739 is an apocalyptic number.

82766087739 is a deficient number, since it is larger than the sum of its proper divisors (46724504261).

82766087739 is a wasteful number, since it uses less digits than its factorization.

82766087739 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525864 (or 525858 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 82766087739 in words is "eighty-two billion, seven hundred sixty-six million, eighty-seven thousand, seven hundred thirty-nine".