687716400 has 480 divisors, whose sum is σ = 2755379200. Its totient is φ = 143078400.

The previous prime is 687716387. The next prime is 687716417. The reversal of 687716400 is 4617786.

687716400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4947531 + ... + 4947669.

Almost surely, 2^687716400 is an apocalyptic number.

687716400 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 687716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377689600).

687716400 is an abundant number, since it is smaller than the sum of its proper divisors (2067662800).

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

687716400 is a wasteful number, since it uses less digits than its factorization.

687716400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 687716400 is about 26224.3474656663. The cubic root of 687716400 is about 882.6796762239.

The spelling of 687716400 in words is "six hundred eighty-seven million, seven hundred sixteen thousand, four hundred".