6777640 has 64 divisors (see below), whose sum is σ = 16329600. Its totient is φ = 2525952.

The previous prime is 6777637. The next prime is 6777691. The reversal of 6777640 is 467776.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6777640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48691 + ... + 48829.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 2^6777640 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 6777640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164800).

6777640 is an abundant number, since it is smaller than the sum of its proper divisors (9551960).

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

6777640 is a wasteful number, since it uses less digits than its factorization.

6777640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The square root of 6777640 is about 2603.3900975459. The cubic root of 6777640 is about 189.2457633565.

The spelling of 6777640 in words is "six million, seven hundred seventy-seven thousand, six hundred forty".