6777405625 has 45 divisors (see below), whose sum is σ = 8803023537. Its totient is φ = 5216112000.

The previous prime is 6777405619. The next prime is 6777405637. The reversal of 6777405625 is 5265047776.

The square root of 6777405625 is 82325.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 6604325289 + 173080336 = 81267^2 + 13156^2 .

It is not a de Polignac number, because 6777405625 - 2¹⁹ = 6776881337 is a prime.

It is a super-3 number, since 3×6777405625³ (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 76150581 + ... + 76150669.

Almost surely, 2^6777405625 is an apocalyptic number.

6777405625 is the 82325-th square number.

6777405625 is the 41163-rd centered octagonal number.

It is an amenable number.

6777405625 is a deficient number, since it is larger than the sum of its proper divisors (2025617912).

6777405625 is an frugal number, since it uses more digits than its factorization.

6777405625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 49.

The cubic root of 6777405625 is about 1892.4358191930.

Multiplying 6777405625 by its sum of digits (49), we get a square (332092875625 = 576275²).

The spelling of 6777405625 in words is "six billion, seven hundred seventy-seven million, four hundred five thousand, six hundred twenty-five".