678762240 has 144 divisors (see below), whose sum is σ = 2334722208. Its totient is φ = 167067648.

The previous prime is 678762229. The next prime is 678762277. The reversal of 678762240 is 42267876.

It is a junction number, because it is equal to n+sod(n) for n = 678762192 and 678762201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43122 + ... + 56718.

Almost surely, 2^678762240 is an apocalyptic number.

678762240 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 678762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167361104).

678762240 is an abundant number, since it is smaller than the sum of its proper divisors (1655959968).

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

678762240 is a wasteful number, since it uses less digits than its factorization.

678762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13634 (or 13620 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 678762240 is about 26053.0658464604. The cubic root of 678762240 is about 878.8320594043.

The spelling of 678762240 in words is "six hundred seventy-eight million, seven hundred sixty-two thousand, two hundred forty".