6776112 has 120 divisors (see below), whose sum is σ = 21147456. Its totient is φ = 1862784.

The previous prime is 6776101. The next prime is 6776113. The reversal of 6776112 is 2116776.

It is a happy number.

It is a super-3 number, since 3×6776112³ (a number of 21 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6776112.

It is not an unprimeable number, because it can be changed into a prime (6776113) 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 23 ways as a sum of consecutive naturals, for example, 101103 + ... + 101169.

Almost surely, 2^6776112 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 6776112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10573728).

6776112 is an abundant number, since it is smaller than the sum of its proper divisors (14371344).

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

6776112 is a wasteful number, since it uses less digits than its factorization.

6776112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 6776112 is about 2603.0966174923. The cubic root of 6776112 is about 189.2315406447.

The spelling of 6776112 in words is "six million, seven hundred seventy-six thousand, one hundred twelve".