678930560 has 256 divisors, whose sum is σ = 2115072000. Its totient is φ = 202076160.

The previous prime is 678930533. The next prime is 678930599. The reversal of 678930560 is 65039876.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133141 + ... + 1133739.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 2^678930560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057536000).

678930560 is an abundant number, since it is smaller than the sum of its proper divisors (1436141440).

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

678930560 is a wasteful number, since it uses less digits than its factorization.

678930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 678930560 is about 26056.2959762127. The cubic root of 678930560 is about 878.9046978913.

The spelling of 678930560 in words is "six hundred seventy-eight million, nine hundred thirty thousand, five hundred sixty".