680799600 has 360 divisors, whose sum is σ = 2630910480. Its totient is φ = 167132160.

The previous prime is 680799577. The next prime is 680799601. The reversal of 680799600 is 6997086.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680799601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1825014 + ... + 1825386.

Almost surely, 2^680799600 is an apocalyptic number.

680799600 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 680799600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315455240).

680799600 is an abundant number, since it is smaller than the sum of its proper divisors (1950110880).

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

680799600 is a wasteful number, since it uses less digits than its factorization.

680799600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 680799600 is about 26092.1367465373. The cubic root of 680799600 is about 879.7104763813.

The spelling of 680799600 in words is "six hundred eighty million, seven hundred ninety-nine thousand, six hundred".