680880 has 40 divisors (see below), whose sum is σ = 2111472. Its totient is φ = 181504.

The previous prime is 680879. The next prime is 680881. The reversal of 680880 is 88086.

It is an interprime number because it is at equal distance from previous prime (680879) and next prime (680881).

It is a tau number, because it is divible by the number of its divisors (40).

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680880.

It is not an unprimeable number, because it can be changed into a prime (680881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1179 + ... + 1658.

2⁶⁸⁰⁸⁸⁰ is an apocalyptic number.

680880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680880 is an abundant number, since it is smaller than the sum of its proper divisors (1430592).

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

680880 is a wasteful number, since it uses less digits than its factorization.

680880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2847 counting only the distinct ones).

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

The square root of 680880 is about 825.1545309819. The cubic root of 680880 is about 87.9745105239.

The spelling of 680880 in words is "six hundred eighty thousand, eight hundred eighty".