678705456 has 240 divisors, whose sum is σ = 2119551840. Its totient is φ = 185856000.

The previous prime is 678705449. The next prime is 678705457. The reversal of 678705456 is 654507876.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (678705457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6719806 + ... + 6719906.

It is an arithmetic number, because the mean of its divisors is an integer number (8831466).

Almost surely, 2^678705456 is an apocalyptic number.

678705456 is a gapful number since it is divisible by the number (66) 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 678705456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059775920).

678705456 is an abundant number, since it is smaller than the sum of its proper divisors (1440846384).

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

678705456 is a wasteful number, since it uses less digits than its factorization.

678705456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 678705456 is about 26051.9760478932. The cubic root of 678705456 is about 878.8075515632.

The spelling of 678705456 in words is "six hundred seventy-eight million, seven hundred five thousand, four hundred fifty-six".