7678441 has 9 divisors (see below), whose sum is σ = 8207031. Its totient is φ = 7182432.

The previous prime is 7678409. The next prime is 7678453. The reversal of 7678441 is 1448767.

The square root of 7678441 is 2771.

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., 5978025 + 1700416 = 2445^2 + 1304^2 .

It is not a de Polignac number, because 7678441 - 2⁵ = 7678409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7678441.

It is not an unprimeable number, because it can be changed into a prime (7678841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47026 + ... + 47188.

Almost surely, 2^7678441 is an apocalyptic number.

7678441 is the 2771-st square number.

7678441 is the 1386-th centered octagonal number.

It is an amenable number.

7678441 is a deficient number, since it is larger than the sum of its proper divisors (528590).

7678441 is an equidigital number, since it uses as much as digits as its factorization.

7678441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 180 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The cubic root of 7678441 is about 197.2836149575.

The spelling of 7678441 in words is "seven million, six hundred seventy-eight thousand, four hundred forty-one".