678578880 has 224 divisors, whose sum is σ = 2478389760. Its totient is φ = 154091520.

The previous prime is 678578861. The next prime is 678578891. The reversal of 678578880 is 88875876.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 678578880.

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 31 ways as a sum of consecutive naturals, for example, 1619311 + ... + 1619729.

It is an arithmetic number, because the mean of its divisors is an integer number (11064240).

Almost surely, 2^678578880 is an apocalyptic number.

678578880 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 678578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239194880).

678578880 is an abundant number, since it is smaller than the sum of its proper divisors (1799810880).

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

678578880 is a wasteful number, since it uses less digits than its factorization.

678578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 57.

The square root of 678578880 is about 26049.5466371298. The cubic root of 678578880 is about 878.7529167388.

The spelling of 678578880 in words is "six hundred seventy-eight million, five hundred seventy-eight thousand, eight hundred eighty".