6777792 has 126 divisors (see below), whose sum is σ = 22757384. Its totient is φ = 1889280.

The previous prime is 6777769. The next prime is 6777803. The reversal of 6777792 is 2977776.

6777792 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (126).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 165292 + ... + 165332.

Almost surely, 2^6777792 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 6777792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11378692).

6777792 is an abundant number, since it is smaller than the sum of its proper divisors (15979592).

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

6777792 is a wasteful number, since it uses less digits than its factorization.

6777792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 53 counting only the distinct ones).

The product of its digits is 259308, while the sum is 45.

The square root of 6777792 is about 2603.4192900876. The cubic root of 6777792 is about 189.2471780643.

It can be divided in two parts, 6777 and 792, that added together give a square (7569 = 87²).

The spelling of 6777792 in words is "six million, seven hundred seventy-seven thousand, seven hundred ninety-two".