77832082068 has 192 divisors, whose sum is σ = 210144614400. Its totient is φ = 22221319680.

The previous prime is 77832082057. The next prime is 77832082127. The reversal of 77832082068 is 86028023877.

It is a self number, because there is not a number n which added to its sum of digits gives 77832082068.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34301238 + ... + 34303506.

It is an arithmetic number, because the mean of its divisors is an integer number (1094503200).

Almost surely, 2^77832082068 is an apocalyptic number.

77832082068 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77832082068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105072307200).

77832082068 is an abundant number, since it is smaller than the sum of its proper divisors (132312532332).

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

77832082068 is a wasteful number, since it uses less digits than its factorization.

77832082068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 77832082068 in words is "seventy-seven billion, eight hundred thirty-two million, eighty-two thousand, sixty-eight".