82756839375 has 480 divisors, whose sum is σ = 198134576640. Its totient is φ = 33592320000.

The previous prime is 82756839359. The next prime is 82756839379. The reversal of 82756839375 is 57393865728.

82756839375 is a `hidden beast` number, since 8 + 2 + 7 + 568 + 39 + 37 + 5 = 666.

It is not a de Polignac number, because 82756839375 - 2⁴ = 82756839359 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82756839379) 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 479 ways as a sum of consecutive naturals, for example, 343389255 + ... + 343389495.

It is an arithmetic number, because the mean of its divisors is an integer number (412780368).

Almost surely, 2^82756839375 is an apocalyptic number.

82756839375 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82756839375 is an abundant number, since it is smaller than the sum of its proper divisors (115377737265).

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

82756839375 is a wasteful number, since it uses less digits than its factorization.

82756839375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 292 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 82756839375 in words is "eighty-two billion, seven hundred fifty-six million, eight hundred thirty-nine thousand, three hundred seventy-five".