682782000 has 80 divisors (see below), whose sum is σ = 2201308512. Its totient is φ = 182073600.

The previous prime is 682781977. The next prime is 682782007. The reversal of 682782000 is 287286.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (682782007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50899 + ... + 62898.

Almost surely, 2^682782000 is an apocalyptic number.

682782000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

682782000 is an abundant number, since it is smaller than the sum of its proper divisors (1518526512).

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

682782000 is a wasteful number, since it uses less digits than its factorization.

682782000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113823 (or 113807 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 682782000 is about 26130.0975887960. The cubic root of 682782000 is about 880.5635164802.

The spelling of 682782000 in words is "six hundred eighty-two million, seven hundred eighty-two thousand".