82776754368 has 504 divisors, whose sum is σ = 299504185344. Its totient is φ = 21395911680.

The previous prime is 82776754321. The next prime is 82776754391. The reversal of 82776754368 is 86345767728.

82776754368 is a `hidden beast` number, since 8 + 27 + 7 + 6 + 7 + 543 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 186854755 + ... + 186855197.

It is an arithmetic number, because the mean of its divisors is an integer number (594254336).

Almost surely, 2^82776754368 is an apocalyptic number.

82776754368 is a gapful number since it is divisible by the number (88) 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 82776754368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149752092672).

82776754368 is an abundant number, since it is smaller than the sum of its proper divisors (216727430976).

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

82776754368 is a wasteful number, since it uses less digits than its factorization.

82776754368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 849 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 82776754368 in words is "eighty-two billion, seven hundred seventy-six million, seven hundred fifty-four thousand, three hundred sixty-eight".