Search a number
6776 = 237112
BaseRepresentation
bin1101001111000
3100021222
41221320
5204101
651212
725520
oct15170
910258
106776
115100
123b08
133113
142680
15201b
hex1a78

6776 has 24 divisors (see below), whose sum is σ = 15960. Its totient is φ = 2640.

The previous prime is 6763. The next prime is 6779.

It can be divided in two parts, 6 and 776, that multiplied together give a triangular number (4656 = T96).

6776 = T13 + T14 + ... + T34.

6776 is nontrivially palindromic in base 10 and base 13.

It is a super-3 number, since 3×67763 = 933343369728, which contains 333 as substring.

6776 is a Rhonda number in base 16.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6779) by changing a digit.

6776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (665).

26776 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 6776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980).

6776 is an abundant number, since it is smaller than the sum of its proper divisors (9184).

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

6776 is a wasteful number, since it uses less digits than its factorization.

6776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 20 counting only the distinct ones).

The product of its digits is 1764, while the sum is 26.

The square root of 6776 is about 82.3164625090. The cubic root of 6776 is about 18.9230498058.

The spelling of 6776 in words is "six thousand, seven hundred seventy-six".