688304800 has 36 divisors (see below), whose sum is σ = 1680326046. Its totient is φ = 275321600.

The previous prime is 688304783. The next prime is 688304803. The reversal of 688304800 is 8403886.

It can be written as a sum of positive squares in 3 ways, for example, as 513113104 + 175191696 = 22652^2 + 13236^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 688304800.

It is not an unprimeable number, because it can be changed into a prime (688304803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 429391 + ... + 430990.

Almost surely, 2^688304800 is an apocalyptic number.

It is an amenable number.

688304800 is an abundant number, since it is smaller than the sum of its proper divisors (992021246).

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

688304800 is a wasteful number, since it uses less digits than its factorization.

688304800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860401 (or 860388 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 688304800 is about 26235.5636493672. The cubic root of 688304800 is about 882.9313403646.

The spelling of 688304800 in words is "six hundred eighty-eight million, three hundred four thousand, eight hundred".