82760364426784 has 192 divisors, whose sum is σ = 190828448052480. Its totient is φ = 34951809024000.

The previous prime is 82760364426763. The next prime is 82760364426787. The reversal of 82760364426784 is 48762446306728.

It is not an unprimeable number, because it can be changed into a prime (82760364426787) 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, 75468964 + ... + 76557724.

It is an arithmetic number, because the mean of its divisors is an integer number (993898166940).

Almost surely, 2^{82760364426784} 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 82760364426784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95414224026240).

82760364426784 is an abundant number, since it is smaller than the sum of its proper divisors (108068083625696).

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

82760364426784 is a wasteful number, since it uses less digits than its factorization.

82760364426784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089075 (or 1089067 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 67.

The spelling of 82760364426784 in words is "eighty-two trillion, seven hundred sixty billion, three hundred sixty-four million, four hundred twenty-six thousand, seven hundred eighty-four".