678142080 has 576 divisors, whose sum is σ = 2962814400. Its totient is φ = 139898880.

The previous prime is 678142033. The next prime is 678142093. The reversal of 678142080 is 80241876.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 4878651 + ... + 4878789.

It is an arithmetic number, because the mean of its divisors is an integer number (5143775).

Almost surely, 2^678142080 is an apocalyptic number.

678142080 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 678142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481407200).

678142080 is an abundant number, since it is smaller than the sum of its proper divisors (2284672320).

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

678142080 is a wasteful number, since it uses less digits than its factorization.

678142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 678142080 is about 26041.1612644291. The cubic root of 678142080 is about 878.5643257124.

The spelling of 678142080 in words is "six hundred seventy-eight million, one hundred forty-two thousand, eighty".