680800 has 72 divisors (see below), whose sum is σ = 1781136. Its totient is φ = 253440.

The previous prime is 680783. The next prime is 680803. The reversal of 680800 is 8086.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680803) by changing a digit.

680800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18382 + ... + 18418.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2⁶⁸⁰⁸⁰⁰ 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 680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890568).

680800 is an abundant number, since it is smaller than the sum of its proper divisors (1100336).

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

680800 is a wasteful number, since it uses less digits than its factorization.

680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 680800 is about 825.1060537895. The cubic root of 680800 is about 87.9710648671.

Adding to 680800 its reverse (8086), we get a palindrome (688886).

The spelling of 680800 in words is "six hundred eighty thousand, eight hundred".