678170880 has 360 divisors, whose sum is σ = 2516769024. Its totient is φ = 174182400.

The previous prime is 678170861. The next prime is 678170897. The reversal of 678170880 is 88071876.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3213975 + ... + 3214185.

Almost surely, 2^678170880 is an apocalyptic number.

678170880 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 678170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258384512).

678170880 is an abundant number, since it is smaller than the sum of its proper divisors (1838598144).

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

678170880 is a wasteful number, since it uses less digits than its factorization.

678170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 678170880 is about 26041.7142292899. The cubic root of 678170880 is about 878.5767627789.

The spelling of 678170880 in words is "six hundred seventy-eight million, one hundred seventy thousand, eight hundred eighty".