6909765625 has 81 divisors (see below), whose sum is σ = 10603998477. Its totient is φ = 4488750000.

The previous prime is 6909765623. The next prime is 6909765631. The reversal of 6909765625 is 5265679096.

The square root of 6909765625 is 83125.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4912748281 + 1997017344 = 70091^2 + 44688^2 .

It is not a de Polignac number, because 6909765625 - 2¹ = 6909765623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6909765623) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 363671866 + ... + 363671884.

Almost surely, 2^6909765625 is an apocalyptic number.

6909765625 is the 83125-th square number.

6909765625 is the 41563-rd centered octagonal number.

It is an amenable number.

6909765625 is a deficient number, since it is larger than the sum of its proper divisors (3694232852).

6909765625 is an frugal number, since it uses more digits than its factorization.

6909765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 55.

The cubic root of 6909765625 is about 1904.6759827623.

The spelling of 6909765625 in words is "six billion, nine hundred nine million, seven hundred sixty-five thousand, six hundred twenty-five".