6776640 has 168 divisors, whose sum is σ = 25240488. Its totient is φ = 1658880.

The previous prime is 6776629. The next prime is 6776641. The reversal of 6776640 is 466776.

6776640 is a `hidden beast` number, since 6 + 7 + 7 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 6471936 = 552^2 + 2544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6776595 and 6776604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6776641) 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, 37350 + ... + 37530.

It is an arithmetic number, because the mean of its divisors is an integer number (150241).

Almost surely, 2^6776640 is an apocalyptic number.

6776640 is a gapful number since it is divisible by the number (60) 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 6776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620244).

6776640 is an abundant number, since it is smaller than the sum of its proper divisors (18463848).

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

6776640 is a wasteful number, since it uses less digits than its factorization.

6776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 6776640 is about 2603.1980331892. The cubic root of 6776640 is about 189.2364555408.

The spelling of 6776640 in words is "six million, seven hundred seventy-six thousand, six hundred forty".