6780 has 24 divisors (see below), whose sum is σ = 19152. Its totient is φ = 1792.

The previous prime is 6779. The next prime is 6781. The reversal of 6780 is 876.

It is an interprime number because it is at equal distance from previous prime (6779) and next prime (6781).

6780 is an undulating number in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6781) 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, 4 + ... + 116.

It is an arithmetic number, because the mean of its divisors is an integer number (798).

2⁶⁷⁸⁰ is an apocalyptic number.

6780 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 6780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576).

6780 is an abundant number, since it is smaller than the sum of its proper divisors (12372).

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

6780 is a wasteful number, since it uses less digits than its factorization.

6780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 6780 is about 82.3407554010. The cubic root of 6780 is about 18.9267726172.

The spelling of 6780 in words is "six thousand, seven hundred eighty".