678312240 has 240 divisors, whose sum is σ = 2313896544. Its totient is φ = 163799040.

The previous prime is 678312211. The next prime is 678312259. The reversal of 678312240 is 42213876.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3920794 + ... + 3920966.

Almost surely, 2^678312240 is an apocalyptic number.

678312240 is a gapful number since it is divisible by the number (60) 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 678312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156948272).

678312240 is an abundant number, since it is smaller than the sum of its proper divisors (1635584304).

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

678312240 is a wasteful number, since it uses less digits than its factorization.

678312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 678312240 is about 26044.4281949134. The cubic root of 678312240 is about 878.6378029418.

The spelling of 678312240 in words is "six hundred seventy-eight million, three hundred twelve thousand, two hundred forty".