78464413225 has 45 divisors (see below), whose sum is σ = 107256449415. Its totient is φ = 56941777200.

The previous prime is 78464413207. The next prime is 78464413273. The reversal of 78464413225 is 52231446487.

The square root of 78464413225 is 280115.

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., 28247188761 + 50217224464 = 168069^2 + 224092^2 .

It is not a de Polignac number, because 78464413225 - 2²³ = 78456024617 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 169469344 + ... + 169469806.

Almost surely, 2^78464413225 is an apocalyptic number.

78464413225 is the 280115-th square number.

78464413225 is the 140058-th centered octagonal number.

It is an amenable number.

78464413225 is a deficient number, since it is larger than the sum of its proper divisors (28792036190).

78464413225 is an frugal number, since it uses more digits than its factorization.

78464413225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 479 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 46.

The spelling of 78464413225 in words is "seventy-eight billion, four hundred sixty-four million, four hundred thirteen thousand, two hundred twenty-five".