678109824 has 288 divisors, whose sum is σ = 2333216340. Its totient is φ = 188375040.

The previous prime is 678109811. The next prime is 678109849. The reversal of 678109824 is 428901876.

It can be written as a sum of positive squares in 2 ways, for example, as 678081600 + 28224 = 26040^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 678109824.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2314222 + ... + 2314514.

Almost surely, 2^678109824 is an apocalyptic number.

678109824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166608170).

678109824 is an abundant number, since it is smaller than the sum of its proper divisors (1655106516).

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

678109824 is a wasteful number, since it uses less digits than its factorization.

678109824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 678109824 is about 26040.5419298447. The cubic root of 678109824 is about 878.5503957799.

The spelling of 678109824 in words is "six hundred seventy-eight million, one hundred nine thousand, eight hundred twenty-four".