82780621875705 has 256 divisors, whose sum is σ = 146986674831360. Its totient is φ = 39772422144000.

The previous prime is 82780621875643. The next prime is 82780621875733. The reversal of 82780621875705 is 50757812608728.

It is not a de Polignac number, because 82780621875705 - 2²⁸ = 82780353440249 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 118089331855 + ... + 118089332555.

It is an arithmetic number, because the mean of its divisors is an integer number (574166698560).

Almost surely, 2^{82780621875705} is an apocalyptic number.

It is an amenable number.

82780621875705 is a deficient number, since it is larger than the sum of its proper divisors (64206052955655).

82780621875705 is a wasteful number, since it uses less digits than its factorization.

82780621875705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 66.

The spelling of 82780621875705 in words is "eighty-two trillion, seven hundred eighty billion, six hundred twenty-one million, eight hundred seventy-five thousand, seven hundred five".