680808000 has 224 divisors, whose sum is σ = 2367930240. Its totient is φ = 171878400.

The previous prime is 680807951. The next prime is 680808013. The reversal of 680808000 is 808086.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455254 + ... + 456746.

Almost surely, 2^680808000 is an apocalyptic number.

680808000 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 680808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183965120).

680808000 is an abundant number, since it is smaller than the sum of its proper divisors (1687122240).

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

680808000 is a wasteful number, since it uses less digits than its factorization.

680808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 680808000 is about 26092.2977140765. The cubic root of 680808000 is about 879.7140944493.

The spelling of 680808000 in words is "six hundred eighty million, eight hundred eight thousand".