6677800 has 48 divisors (see below), whose sum is σ = 15696540. Its totient is φ = 2641920.

The previous prime is 6677789. The next prime is 6677809. The reversal of 6677800 is 87766.

It can be written as a sum of positive squares in 6 ways, for example, as 3090564 + 3587236 = 1758^2 + 1894^2 .

It is not an unprimeable number, because it can be changed into a prime (6677809) 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 11 ways as a sum of consecutive naturals, for example, 34504 + ... + 34696.

Almost surely, 2^6677800 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 6677800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848270).

6677800 is an abundant number, since it is smaller than the sum of its proper divisors (9018740).

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

6677800 is a wasteful number, since it uses less digits than its factorization.

6677800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 6677800 is about 2584.1439588382. The cubic root of 6677800 is about 188.3119161869.

Subtracting from 6677800 its sum of digits (34), we obtain a palindrome (6677766).

The spelling of 6677800 in words is "six million, six hundred seventy-seven thousand, eight hundred".