6771880 has 32 divisors (see below), whose sum is σ = 15436800. Its totient is φ = 2673216.

The previous prime is 6771871. The next prime is 6771883. The reversal of 6771880 is 881776.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6771883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2089 + ... + 4231.

It is an arithmetic number, because the mean of its divisors is an integer number (482400).

Almost surely, 2^6771880 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 6771880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718400).

6771880 is an abundant number, since it is smaller than the sum of its proper divisors (8664920).

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

6771880 is a wasteful number, since it uses less digits than its factorization.

6771880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The square root of 6771880 is about 2602.2836125219. The cubic root of 6771880 is about 189.1921377809.

The spelling of 6771880 in words is "six million, seven hundred seventy-one thousand, eight hundred eighty".