688303980 has 720 divisors, whose sum is σ = 2919913920. Its totient is φ = 134120448.

The previous prime is 688303969. The next prime is 688304063. The reversal of 688303980 is 89303886.

688303980 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23734606 + ... + 23734634.

It is an arithmetic number, because the mean of its divisors is an integer number (4055436).

Almost surely, 2^688303980 is an apocalyptic number.

688303980 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 688303980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459956960).

688303980 is an abundant number, since it is smaller than the sum of its proper divisors (2231609940).

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

688303980 is a wasteful number, since it uses less digits than its factorization.

688303980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 688303980 is about 26235.5480217205. The cubic root of 688303980 is about 882.9309897428.

The spelling of 688303980 in words is "six hundred eighty-eight million, three hundred three thousand, nine hundred eighty".