687722800 has 120 divisors (see below), whose sum is σ = 1705444416. Its totient is φ = 266373120.

The previous prime is 687722797. The next prime is 687722801. The reversal of 687722800 is 8227786.

687722800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (687722801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2951484 + ... + 2951716.

Almost surely, 2^687722800 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 687722800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852722208).

687722800 is an abundant number, since it is smaller than the sum of its proper divisors (1017721616).

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

687722800 is a wasteful number, since it uses less digits than its factorization.

687722800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 687722800 is about 26224.4694893910. The cubic root of 687722800 is about 882.6824143354.

The spelling of 687722800 in words is "six hundred eighty-seven million, seven hundred twenty-two thousand, eight hundred".