6677775 has 48 divisors (see below), whose sum is σ = 13228320. Its totient is φ = 3283200.

The previous prime is 6677767. The next prime is 6677777. The reversal of 6677775 is 5777766.

It is a happy number.

It is not a de Polignac number, because 6677775 - 2³ = 6677767 is a prime.

It is a super-3 number, since 3×6677775³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 6677775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6677777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8395 + ... + 9155.

It is an arithmetic number, because the mean of its divisors is an integer number (275590).

Almost surely, 2^6677775 is an apocalyptic number.

6677775 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6677775 is a deficient number, since it is larger than the sum of its proper divisors (6550545).

6677775 is a wasteful number, since it uses less digits than its factorization.

6677775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 782 counting only the distinct ones).

The product of its digits is 432180, while the sum is 45.

The square root of 6677775 is about 2584.1391216419. The cubic root of 6677775 is about 188.3116811892.

Subtracting from 6677775 its reverse (5777766), we obtain a palindrome (900009).

It can be divided in two parts, 66 and 77775, that added together give a square (77841 = 279²).

The spelling of 6677775 in words is "six million, six hundred seventy-seven thousand, seven hundred seventy-five".