6780756 has 48 divisors (see below), whose sum is σ = 17164224. Its totient is φ = 2075136.

The previous prime is 6780743. The next prime is 6780757. The reversal of 6780756 is 6570876.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6780757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8386 + ... + 9158.

It is an arithmetic number, because the mean of its divisors is an integer number (357588).

Almost surely, 2^6780756 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 6780756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8582112).

6780756 is an abundant number, since it is smaller than the sum of its proper divisors (10383468).

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

6780756 is a wasteful number, since it uses less digits than its factorization.

6780756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 6780756 is about 2603.9884792372. The cubic root of 6780756 is about 189.2747606403.

The spelling of 6780756 in words is "six million, seven hundred eighty thousand, seven hundred fifty-six".