7727289025 has 9 divisors (see below), whose sum is σ = 9582383433. Its totient is φ = 6181479600.

The previous prime is 7727289019. The next prime is 7727289041. The reversal of 7727289025 is 5209827277.

It is a happy number.

The square root of 7727289025 is 87905.

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 1163696769 + 6563592256 = 34113^2 + 81016^2 .

It is not a de Polignac number, because 7727289025 - 2⁵ = 7727288993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7727289025.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 430735 + ... + 448315.

Almost surely, 2^7727289025 is an apocalyptic number.

7727289025 is the 87905-th square number.

7727289025 is the 43953-rd centered octagonal number.

It is an amenable number.

7727289025 is a deficient number, since it is larger than the sum of its proper divisors (1855094408).

7727289025 is an frugal number, since it uses more digits than its factorization.

7727289025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35172 (or 17586 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 49.

The cubic root of 7727289025 is about 1977.0108473292.

Multiplying 7727289025 by its sum of digits (49), we get a square (378637162225 = 615335²).

The spelling of 7727289025 in words is "seven billion, seven hundred twenty-seven million, two hundred eighty-nine thousand, twenty-five".