7678413 has 24 divisors (see below), whose sum is σ = 11837280. Its totient is φ = 4782240.

The previous prime is 7678409. The next prime is 7678453. The reversal of 7678413 is 3148767.

It is not a de Polignac number, because 7678413 - 2² = 7678409 is a prime.

It is an Ulam number.

7678413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7678403) 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 23 ways as a sum of consecutive naturals, for example, 13923 + ... + 14463.

It is an arithmetic number, because the mean of its divisors is an integer number (493220).

Almost surely, 2^7678413 is an apocalyptic number.

It is an amenable number.

7678413 is a deficient number, since it is larger than the sum of its proper divisors (4158867).

7678413 is a wasteful number, since it uses less digits than its factorization.

7678413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 646 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 7678413 is about 2770.9949476677. The cubic root of 7678413 is about 197.2833751541.

It can be divided in two parts, 767 and 8413, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 7678413 in words is "seven million, six hundred seventy-eight thousand, four hundred thirteen".