682760100 has 72 divisors (see below), whose sum is σ = 2155049568. Its totient is φ = 165516800.

The previous prime is 682760087. The next prime is 682760119. The reversal of 682760100 is 1067286.

It is a happy number.

It is a super-2 number, since 2×682760100² = 932322708304020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 100149 + ... + 106748.

It is an arithmetic number, because the mean of its divisors is an integer number (29931244).

Almost surely, 2^682760100 is an apocalyptic number.

682760100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

682760100 is an abundant number, since it is smaller than the sum of its proper divisors (1472289468).

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

682760100 is a wasteful number, since it uses less digits than its factorization.

682760100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206925 (or 206918 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 682760100 is about 26129.6785284473. The cubic root of 682760100 is about 880.5541017880.

The spelling of 682760100 in words is "six hundred eighty-two million, seven hundred sixty thousand, one hundred".