678009120 has 192 divisors, whose sum is σ = 2204496000. Its totient is φ = 175087616.

The previous prime is 678009109. The next prime is 678009121. The reversal of 678009120 is 21900876.

It is not an unprimeable number, because it can be changed into a prime (678009121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2520346 + ... + 2520614.

It is an arithmetic number, because the mean of its divisors is an integer number (11481750).

Almost surely, 2^678009120 is an apocalyptic number.

678009120 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 678009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102248000).

678009120 is an abundant number, since it is smaller than the sum of its proper divisors (1526486880).

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

678009120 is a wasteful number, since it uses less digits than its factorization.

678009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 678009120 is about 26038.6082577391. The cubic root of 678009120 is about 878.5069033563.

Adding to 678009120 its reverse (21900876), we get a palindrome (699909996).

The spelling of 678009120 in words is "six hundred seventy-eight million, nine thousand, one hundred twenty".