6777320 has 64 divisors (see below), whose sum is σ = 16943040. Its totient is φ = 2419200.

The previous prime is 6777317. The next prime is 6777349. The reversal of 6777320 is 237776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32015 + ... + 32225.

It is an arithmetic number, because the mean of its divisors is an integer number (264735).

Almost surely, 2^6777320 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 6777320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8471520).

6777320 is an abundant number, since it is smaller than the sum of its proper divisors (10165720).

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

6777320 is a wasteful number, since it uses less digits than its factorization.

6777320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 32.

The square root of 6777320 is about 2603.3286384934. The cubic root of 6777320 is about 189.2427849551.

It can be divided in two parts, 677 and 7320, that added together give a palindrome (7997).

The spelling of 6777320 in words is "six million, seven hundred seventy-seven thousand, three hundred twenty".