82083878415 has 320 divisors, whose sum is σ = 192424522752. Its totient is φ = 32485017600.

The previous prime is 82083878381. The next prime is 82083878431. The reversal of 82083878415 is 51487838028.

82083878415 is a `hidden beast` number, since 82 + 0 + 83 + 8 + 78 + 415 = 666.

It is not a de Polignac number, because 82083878415 - 2⁸ = 82083878159 is a prime.

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 319 ways as a sum of consecutive naturals, for example, 54978409 + ... + 54979901.

Almost surely, 2^82083878415 is an apocalyptic number.

82083878415 is an abundant number, since it is smaller than the sum of its proper divisors (110340644337).

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

82083878415 is a wasteful number, since it uses less digits than its factorization.

82083878415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 82083878415 in words is "eighty-two billion, eighty-three million, eight hundred seventy-eight thousand, four hundred fifteen".