687782368 has 192 divisors, whose sum is σ = 1815367680. Its totient is φ = 248832000.

The previous prime is 687782353. The next prime is 687782369. The reversal of 687782368 is 863287786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687782369) 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 31 ways as a sum of consecutive naturals, for example, 1714968 + ... + 1715368.

It is an arithmetic number, because the mean of its divisors is an integer number (9455040).

Almost surely, 2^687782368 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 687782368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907683840).

687782368 is an abundant number, since it is smaller than the sum of its proper divisors (1127585312).

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

687782368 is a wasteful number, since it uses less digits than its factorization.

687782368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 55.

The square root of 687782368 is about 26225.6051979740. The cubic root of 687782368 is about 882.7078984927.

The spelling of 687782368 in words is "six hundred eighty-seven million, seven hundred eighty-two thousand, three hundred sixty-eight".