77832630225 has 81 divisors (see below), whose sum is σ = 162228254097. Its totient is φ = 35567239680.

The previous prime is 77832630191. The next prime is 77832630247. The reversal of 77832630225 is 52203623877.

The square root of 77832630225 is 278985.

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

77832630225 is a `hidden beast` number, since 7 + 7 + 8 + 3 + 2 + 630 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11716929 + 77820913296 = 3423^2 + 278964^2 .

It is not a de Polignac number, because 77832630225 - 2⁹ = 77832629713 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29292097 + ... + 29294753.

Almost surely, 2^77832630225 is an apocalyptic number.

77832630225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

77832630225 is the 278985-th square number.

77832630225 is the 139493-rd centered octagonal number.

It is an amenable number.

77832630225 is an abundant number, since it is smaller than the sum of its proper divisors (84395623872).

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

77832630225 is an equidigital number, since it uses as much as digits as its factorization.

77832630225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 77832630225 in words is "seventy-seven billion, eight hundred thirty-two million, six hundred thirty thousand, two hundred twenty-five".