6765625 has 14 divisors (see below), whose sum is σ = 8476454. Its totient is φ = 5400000.

The previous prime is 6765623. The next prime is 6765631. The reversal of 6765625 is 5265676.

It can be written as a sum of positive squares in 7 ways, for example, as 6335289 + 430336 = 2517^2 + 656^2 .

It is not a de Polignac number, because 6765625 - 2¹ = 6765623 is a prime.

It is a Duffinian number.

6765625 is a lucky number.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (6765623) 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 13 ways as a sum of consecutive naturals, for example, 15409 + ... + 15841.

It is an arithmetic number, because the mean of its divisors is an integer number (605461).

Almost surely, 2^6765625 is an apocalyptic number.

It is an amenable number.

6765625 is a deficient number, since it is larger than the sum of its proper divisors (1710829).

6765625 is an frugal number, since it uses more digits than its factorization.

6765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 438 counting only the distinct ones).

The product of its digits is 75600, while the sum is 37.

The square root of 6765625 is about 2601.0815058356. The cubic root of 6765625 is about 189.1338693056.

It can be divided in two parts, 676 and 5625, that multiplied together give a square (3802500 = 1950²).

The spelling of 6765625 in words is "six million, seven hundred sixty-five thousand, six hundred twenty-five".