82756872378 has 192 divisors, whose sum is σ = 201076162560. Its totient is φ = 24479034624.

The previous prime is 82756872371. The next prime is 82756872391. The reversal of 82756872378 is 87327865728.

It is not an unprimeable number, because it can be changed into a prime (82756872371) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 95893975 + ... + 95894837.

It is an arithmetic number, because the mean of its divisors is an integer number (1047271680).

Almost surely, 2^82756872378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82756872378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100538081280).

82756872378 is an abundant number, since it is smaller than the sum of its proper divisors (118319290182).

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

82756872378 is a wasteful number, since it uses less digits than its factorization.

82756872378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1150 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 82756872378 in words is "eighty-two billion, seven hundred fifty-six million, eight hundred seventy-two thousand, three hundred seventy-eight".