82775585577768 has 128 divisors (see below), whose sum is σ = 215295716966400. Its totient is φ = 26491897094400.

The previous prime is 82775585577761. The next prime is 82775585577779. The reversal of 82775585577768 is 86777558557728.

82775585577768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (82775585577761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154132033 + ... + 154668143.

It is an arithmetic number, because the mean of its divisors is an integer number (1681997788800).

Almost surely, 2^{82775585577768} 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 82775585577768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107647858483200).

82775585577768 is an abundant number, since it is smaller than the sum of its proper divisors (132520131388632).

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

82775585577768 is a wasteful number, since it uses less digits than its factorization.

82775585577768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537783 (or 537779 counting only the distinct ones).

The product of its digits is 64538880000, while the sum is 87.

The spelling of 82775585577768 in words is "eighty-two trillion, seven hundred seventy-five billion, five hundred eighty-five million, five hundred seventy-seven thousand, seven hundred sixty-eight".