678393 has 6 divisors (see below), whose sum is σ = 979914. Its totient is φ = 452256.

The previous prime is 678383. The next prime is 678401. The reversal of 678393 is 393876.

It can be written as a sum of positive squares in only one way, i.e., 660969 + 17424 = 813^2 + 132^2 .

It is not a de Polignac number, because 678393 - 2⁶ = 678329 is a prime.

678393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (678343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37680 + ... + 37697.

It is an arithmetic number, because the mean of its divisors is an integer number (163319).

2⁶⁷⁸³⁹³ is an apocalyptic number.

It is an amenable number.

678393 is a deficient number, since it is larger than the sum of its proper divisors (301521).

678393 is a wasteful number, since it uses less digits than its factorization.

678393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75383 (or 75380 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 678393 is about 823.6461618924. The cubic root of 678393 is about 87.8672671826.

The spelling of 678393 in words is "six hundred seventy-eight thousand, three hundred ninety-three".