682776864 has 360 divisors, whose sum is σ = 2530592064. Its totient is φ = 176774400.

The previous prime is 682776863. The next prime is 682776893. The reversal of 682776864 is 468677286.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 682776864.

It is not an unprimeable number, because it can be changed into a prime (682776863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2195269 + ... + 2195579.

Almost surely, 2^682776864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682776864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265296032).

682776864 is an abundant number, since it is smaller than the sum of its proper divisors (1847815200).

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

682776864 is a wasteful number, since it uses less digits than its factorization.

682776864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 334 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 682776864 is about 26129.9993111366. Note that the first 3 decimals coincide. The cubic root of 682776864 is about 880.5613085595.

The spelling of 682776864 in words is "six hundred eighty-two million, seven hundred seventy-six thousand, eight hundred sixty-four".