678842240 has 128 divisors (see below), whose sum is σ = 1713208320. Its totient is φ = 256706560.

The previous prime is 678842239. The next prime is 678842243. The reversal of 678842240 is 42248876.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678842243) 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 15 ways as a sum of consecutive naturals, for example, 1574825 + ... + 1575255.

It is an arithmetic number, because the mean of its divisors is an integer number (13384440).

Almost surely, 2^678842240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856604160).

678842240 is an abundant number, since it is smaller than the sum of its proper divisors (1034366080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

678842240 is a wasteful number, since it uses less digits than its factorization.

678842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The square root of 678842240 is about 26054.6011291672. The cubic root of 678842240 is about 878.8665848973.

The spelling of 678842240 in words is "six hundred seventy-eight million, eight hundred forty-two thousand, two hundred forty".