680880000 has 160 divisors (see below), whose sum is σ = 2260807560. Its totient is φ = 181504000.

The previous prime is 680879981. The next prime is 680880019. The reversal of 680880000 is 88086.

It is an interprime number because it is at equal distance from previous prime (680879981) and next prime (680880019).

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 680880000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238582 + ... + 241418.

Almost surely, 2^680880000 is an apocalyptic number.

680880000 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 680880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130403780).

680880000 is an abundant number, since it is smaller than the sum of its proper divisors (1579927560).

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

680880000 is an equidigital number, since it uses as much as digits as its factorization.

680880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2847 counting only the distinct ones).

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

The square root of 680880000 is about 26093.6773951086. The cubic root of 680880000 is about 879.7451052394.

The spelling of 680880000 in words is "six hundred eighty million, eight hundred eighty thousand".