7760729025 has 81 divisors (see below), whose sum is σ = 16189064931. Its totient is φ = 3543533280.

The previous prime is 7760729017. The next prime is 7760729027. The reversal of 7760729025 is 5209270677.

The square root of 7760729025 is 88095.

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

7760729025 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2793862449 + 4966866576 = 52857^2 + 70476^2 .

It is not a de Polignac number, because 7760729025 - 2³ = 7760729017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7760729027) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 9249556 + ... + 9250394.

Almost surely, 2^7760729025 is an apocalyptic number.

7760729025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7760729025 is the 88095-th square number.

7760729025 is the 44048-th centered octagonal number.

It is an amenable number.

7760729025 is an abundant number, since it is smaller than the sum of its proper divisors (8428335906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7760729025 is an equidigital number, since it uses as much as digits as its factorization.

7760729025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The cubic root of 7760729025 is about 1979.8585948908.

The spelling of 7760729025 in words is "seven billion, seven hundred sixty million, seven hundred twenty-nine thousand, twenty-five".