688820000 has 240 divisors, whose sum is σ = 1927183104. Its totient is φ = 240000000.

The previous prime is 688819981. The next prime is 688820003. The reversal of 688820000 is 28886.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (688820003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6819950 + ... + 6820050.

Almost surely, 2^688820000 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 688820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963591552).

688820000 is an abundant number, since it is smaller than the sum of its proper divisors (1238363104).

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

688820000 is a wasteful number, since it uses less digits than its factorization.

688820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 688820000 is about 26245.3805459170. The cubic root of 688820000 is about 883.1515784426.

Adding to 688820000 its reverse (28886), we get a palindrome (688848886).

The spelling of 688820000 in words is "six hundred eighty-eight million, eight hundred twenty thousand".