686774880 has 288 divisors, whose sum is σ = 2581383168. Its totient is φ = 164889600.

The previous prime is 686774863. The next prime is 686774983. The reversal of 686774880 is 88477686.

686774880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3025327 + ... + 3025553.

It is an arithmetic number, because the mean of its divisors is an integer number (8963136).

Almost surely, 2^686774880 is an apocalyptic number.

686774880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686774880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290691584).

686774880 is an abundant number, since it is smaller than the sum of its proper divisors (1894608288).

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

686774880 is a wasteful number, since it uses less digits than its factorization.

686774880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 686774880 is about 26206.3900604414. The cubic root of 686774880 is about 882.2766805934.

The spelling of 686774880 in words is "six hundred eighty-six million, seven hundred seventy-four thousand, eight hundred eighty".