77415977863225 has 27 divisors (see below), whose sum is σ = 98084353034541. Its totient is φ = 60613444569600.

The previous prime is 77415977863223. The next prime is 77415977863241. The reversal of 77415977863225 is 52236877951477.

The square root of 77415977863225 is 8798635.

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 898061370921 + 76517916492304 = 947661^2 + 8747452^2 .

It is not a de Polignac number, because 77415977863225 - 2¹ = 77415977863223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77415977863223) 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 26 ways as a sum of consecutive naturals, for example, 2067660505 + ... + 2067697945.

Almost surely, 2^{77415977863225} is an apocalyptic number.

77415977863225 is the 8798635-th square number.

77415977863225 is the 4399318-th centered octagonal number.

It is an amenable number.

77415977863225 is a deficient number, since it is larger than the sum of its proper divisors (20668375171316).

77415977863225 is an frugal number, since it uses more digits than its factorization.

77415977863225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74986 (or 37493 counting only the distinct ones).

The product of its digits is 1244678400, while the sum is 73.

The spelling of 77415977863225 in words is "seventy-seven trillion, four hundred fifteen billion, nine hundred seventy-seven million, eight hundred sixty-three thousand, two hundred twenty-five".