678511680 has 448 divisors, whose sum is σ = 2745833472. Its totient is φ = 137871360.

The previous prime is 678511627. The next prime is 678511699. The reversal of 678511680 is 86115876.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4952572 + ... + 4952708.

Almost surely, 2^678511680 is an apocalyptic number.

678511680 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 678511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372916736).

678511680 is an abundant number, since it is smaller than the sum of its proper divisors (2067321792).

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

678511680 is a wasteful number, since it uses less digits than its factorization.

678511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 678511680 is about 26048.2567554913. The cubic root of 678511680 is about 878.7239080034.

The spelling of 678511680 in words is "six hundred seventy-eight million, five hundred eleven thousand, six hundred eighty".