78446449 has 9 divisors (see below), whose sum is σ = 83492641. Its totient is φ = 73690240.

The previous prime is 78446441. The next prime is 78446477. The reversal of 78446449 is 94464487.

The square root of 78446449 is 8857.

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 442225 + 78004224 = 665^2 + 8832^2 .

It is not a de Polignac number, because 78446449 - 2³ = 78446441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 78446399 and 78446408.

It is not an unprimeable number, because it can be changed into a prime (78446441) 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 8 ways as a sum of consecutive naturals, for example, 150309 + ... + 150829.

Almost surely, 2^78446449 is an apocalyptic number.

78446449 is the 8857-th square number.

78446449 is the 4429-th centered octagonal number.

It is an amenable number.

78446449 is a deficient number, since it is larger than the sum of its proper divisors (5046192).

78446449 is an frugal number, since it uses more digits than its factorization.

78446449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 538 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

The cubic root of 78446449 is about 428.0794990910.

The spelling of 78446449 in words is "seventy-eight million, four hundred forty-six thousand, four hundred forty-nine".