680068080 has 120 divisors (see below), whose sum is σ = 2357646720. Its totient is φ = 175495680.

The previous prime is 680068021. The next prime is 680068087. The reversal of 680068080 is 80860086.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680068087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7086 + ... + 37554.

It is an arithmetic number, because the mean of its divisors is an integer number (19647056).

Almost surely, 2^680068080 is an apocalyptic number.

680068080 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 680068080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178823360).

680068080 is an abundant number, since it is smaller than the sum of its proper divisors (1677578640).

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

680068080 is a wasteful number, since it uses less digits than its factorization.

680068080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30519 (or 30510 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 680068080 is about 26078.1149625505. The cubic root of 680068080 is about 879.3952801351.

The spelling of 680068080 in words is "six hundred eighty million, sixty-eight thousand, eighty".