782661166287 has 96 divisors (see below), whose sum is σ = 1426848514560. Its totient is φ = 375117684480.

The previous prime is 782661166283. The next prime is 782661166319.

782661166287 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 782661166287 - 2² = 782661166283 is a prime.

It is a super-2 number, since 2×782661166287² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 782661166287.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782661166283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49034014 + ... + 49049972.

It is an arithmetic number, because the mean of its divisors is an integer number (14863005360).

Almost surely, 2^782661166287 is an apocalyptic number.

782661166287 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

782661166287 is a deficient number, since it is larger than the sum of its proper divisors (644187348273).

782661166287 is a wasteful number, since it uses less digits than its factorization.

782661166287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18333 (or 18326 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The spelling of 782661166287 in words is "seven hundred eighty-two billion, six hundred sixty-one million, one hundred sixty-six thousand, two hundred eighty-seven".