678417120 has 144 divisors (see below), whose sum is σ = 2400980400. Its totient is φ = 180900864.

The previous prime is 678417071. The next prime is 678417137. The reversal of 678417120 is 21714876.

678417120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30156 + ... + 47604.

It is an arithmetic number, because the mean of its divisors is an integer number (16673475).

Almost surely, 2^678417120 is an apocalyptic number.

678417120 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 678417120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200490200).

678417120 is an abundant number, since it is smaller than the sum of its proper divisors (1722563280).

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

678417120 is a wasteful number, since it uses less digits than its factorization.

678417120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17479 (or 17459 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 678417120 is about 26046.4415995736. The cubic root of 678417120 is about 878.6830853246.

The spelling of 678417120 in words is "six hundred seventy-eight million, four hundred seventeen thousand, one hundred twenty".