77566331480625 has 225 divisors, whose sum is σ = 156838711186839. Its totient is φ = 38173819320000.

The previous prime is 77566331480623. The next prime is 77566331480629. The reversal of 77566331480625 is 52608413366577.

The square root of 77566331480625 is 8807175.

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

77566331480625 is a `hidden beast` number, since 7 + 7 + 5 + 6 + 63 + 31 + 480 + 62 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 76614606362529 + 951725118096 = 8752977^2 + 975564^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 77566331480625 - 2¹ = 77566331480623 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77566331480623) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 25760985370 + ... + 25760988380.

Almost surely, 2^{77566331480625} is an apocalyptic number.

77566331480625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

77566331480625 is the 8807175-th square number.

77566331480625 is the 4403588-th centered octagonal number.

It is an amenable number.

77566331480625 is an abundant number, since it is smaller than the sum of its proper divisors (79272379706214).

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

77566331480625 is an frugal number, since it uses more digits than its factorization.

77566331480625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 77566331480625 in words is "seventy-seven trillion, five hundred sixty-six billion, three hundred thirty-one million, four hundred eighty thousand, six hundred twenty-five".