82007784657 has 24 divisors (see below), whose sum is σ = 119001692160. Its totient is φ = 54420219360.

The previous prime is 82007784637. The next prime is 82007784659. The reversal of 82007784657 is 75648770028.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-82007784657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82007784659) 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 23 ways as a sum of consecutive naturals, for example, 2820528 + ... + 2849454.

It is an arithmetic number, because the mean of its divisors is an integer number (4958403840).

Almost surely, 2^82007784657 is an apocalyptic number.

It is an amenable number.

82007784657 is a deficient number, since it is larger than the sum of its proper divisors (36993907503).

82007784657 is a wasteful number, since it uses less digits than its factorization.

82007784657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30373 (or 30370 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 82007784657 in words is "eighty-two billion, seven million, seven hundred eighty-four thousand, six hundred fifty-seven".