687704400 has 270 divisors, whose sum is σ = 2539002362. Its totient is φ = 172339200.

The previous prime is 687704389. The next prime is 687704429. The reversal of 687704400 is 4407786.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 4613904 + 683090496 = 2148^2 + 26136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1040070 + ... + 1040730.

Almost surely, 2^687704400 is an apocalyptic number.

687704400 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 687704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269501181).

687704400 is an abundant number, since it is smaller than the sum of its proper divisors (1851297962).

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

687704400 is a wasteful number, since it uses less digits than its factorization.

687704400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 687704400 is about 26224.1186696522. The cubic root of 687704400 is about 882.6745422192.

The spelling of 687704400 in words is "six hundred eighty-seven million, seven hundred four thousand, four hundred".