5800680 has 128 divisors (see below), whose sum is σ = 19958400. Its totient is φ = 1497600.

The previous prime is 5800661. The next prime is 5800687. The reversal of 5800680 is 860085.

5800680 is a `hidden beast` number, since 580 + 0 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5800687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44215 + ... + 44345.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

Almost surely, 2^5800680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5800680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9979200).

5800680 is an abundant number, since it is smaller than the sum of its proper divisors (14157720).

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

5800680 is a wasteful number, since it uses less digits than its factorization.

5800680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5800680 is about 2408.4600889365. The cubic root of 5800680 is about 179.6771992331.

5800680 divided by its sum of digits (27) gives a triangular number (214840 = T₆₅₅).

The spelling of 5800680 in words is "five million, eight hundred thousand, six hundred eighty".