6776006776 has 96 divisors (see below), whose sum is σ = 16119663840. Its totient is φ = 2613600000.

The previous prime is 6776006773. The next prime is 6776006777.

6776006776 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×6776006776³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6776006771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679426 + ... + 689326.

It is an arithmetic number, because the mean of its divisors is an integer number (167913165).

Almost surely, 2^6776006776 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 6776006776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8059831920).

6776006776 is an abundant number, since it is smaller than the sum of its proper divisors (9343657064).

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

6776006776 is a wasteful number, since it uses less digits than its factorization.

6776006776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10037 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 52.

The square root of 6776006776 is about 82316.5036672477. The cubic root of 6776006776 is about 1892.3056113500.

It can be divided in two parts, 677600 and 6776, that multiplied together give a square (4591417600 = 67760²).

The spelling of 6776006776 in words is "six billion, seven hundred seventy-six million, six thousand, seven hundred seventy-six".