6777936 has 90 divisors (see below), whose sum is σ = 20903610. Its totient is φ = 2048640.

The previous prime is 6777931. The next prime is 6777943. The reversal of 6777936 is 6397776.

It can be written as a sum of positive squares in only one way, i.e., 5035536 + 1742400 = 2244^2 + 1320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6777891 and 6777900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6777931) 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 17 ways as a sum of consecutive naturals, for example, 17230 + ... + 17618.

Almost surely, 2^6777936 is an apocalyptic number.

6777936 is a gapful number since it is divisible by the number (66) 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 6777936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10451805).

6777936 is an abundant number, since it is smaller than the sum of its proper divisors (14125674).

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

6777936 is a wasteful number, since it uses less digits than its factorization.

6777936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 405 counting only the distinct ones).

The product of its digits is 333396, while the sum is 45.

The square root of 6777936 is about 2603.4469458777. The cubic root of 6777936 is about 189.2485182943.

The spelling of 6777936 in words is "six million, seven hundred seventy-seven thousand, nine hundred thirty-six".