7784406903025 has 81 divisors (see below), whose sum is σ = 10445158113579. Its totient is φ = 5754120150240.

The previous prime is 7784406903023. The next prime is 7784406903037. The reversal of 7784406903025 is 5203096044877.

The square root of 7784406903025 is 2790055.

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

It can be written as a sum of positive squares in only one way, i.e., 2802386485089 + 4982020417936 = 1674033^2 + 2232044^2 .

It is not a de Polignac number, because 7784406903025 - 2¹ = 7784406903023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7784406903023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11397374334 + ... + 11397375016.

Almost surely, 2^{7784406903025} is an apocalyptic number.

7784406903025 is the 2790055-th square number.

7784406903025 is the 1395028-th centered octagonal number.

It is an amenable number.

7784406903025 is a deficient number, since it is larger than the sum of its proper divisors (2660751210554).

7784406903025 is an frugal number, since it uses more digits than its factorization.

7784406903025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 7784406903025 in words is "seven trillion, seven hundred eighty-four billion, four hundred six million, nine hundred three thousand, twenty-five".