680820 has 48 divisors (see below), whose sum is σ = 2179968. Its totient is φ = 155520.

The previous prime is 680809. The next prime is 680831. The reversal of 680820 is 28086.

680820 = T₁₀₃ + T₁₀₄ + ... + T₁₇₂.

680820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (680809) and next prime (680831).

It is a congruent number.

It is an unprimeable number.

680820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391 + ... + 1230.

It is an arithmetic number, because the mean of its divisors is an integer number (45416).

2⁶⁸⁰⁸²⁰ is an apocalyptic number.

680820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680820 is an abundant number, since it is smaller than the sum of its proper divisors (1499148).

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

680820 is a wasteful number, since it uses less digits than its factorization.

680820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 680820 is about 825.1181733546. The cubic root of 680820 is about 87.9719263066.

The spelling of 680820 in words is "six hundred eighty thousand, eight hundred twenty".