678474720 has 576 divisors, whose sum is σ = 3000291840. Its totient is φ = 135475200.

The previous prime is 678474701. The next prime is 678474733. The reversal of 678474720 is 27474876.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 3215415 + ... + 3215625.

It is an arithmetic number, because the mean of its divisors is an integer number (5208840).

Almost surely, 2^678474720 is an apocalyptic number.

678474720 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 678474720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500145920).

678474720 is an abundant number, since it is smaller than the sum of its proper divisors (2321817120).

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

678474720 is a wasteful number, since it uses less digits than its factorization.

678474720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 678474720 is about 26047.5472933633. The cubic root of 678474720 is about 878.7079523825.

The spelling of 678474720 in words is "six hundred seventy-eight million, four hundred seventy-four thousand, seven hundred twenty".