6772882776 has 64 divisors (see below), whose sum is σ = 18553034880. Its totient is φ = 2043329280.

The previous prime is 6772882771. The next prime is 6772882799.

It is a happy number.

6772882776 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6772882771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3420 + ... + 116436.

It is an arithmetic number, because the mean of its divisors is an integer number (289891170).

Almost surely, 2^6772882776 is an apocalyptic number.

6772882776 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 6772882776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9276517440).

6772882776 is an abundant number, since it is smaller than the sum of its proper divisors (11780152104).

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

6772882776 is a wasteful number, since it uses less digits than its factorization.

6772882776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113264 (or 113260 counting only the distinct ones).

The product of its digits is 22127616, while the sum is 60.

The square root of 6772882776 is about 82297.5259409419. The cubic root of 6772882776 is about 1892.0147580670.

The spelling of 6772882776 in words is "six billion, seven hundred seventy-two million, eight hundred eighty-two thousand, seven hundred seventy-six".