677984256 has 240 divisors, whose sum is σ = 2089006920. Its totient is φ = 218972160.

The previous prime is 677984249. The next prime is 677984261. The reversal of 677984256 is 652489776.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5080320) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10119135 + ... + 10119201.

Almost surely, 2^677984256 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 677984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044503460).

677984256 is an abundant number, since it is smaller than the sum of its proper divisors (1411022664).

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

677984256 is an equidigital number, since it uses as much as digits as its factorization.

677984256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 133 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 677984256 is about 26038.1308084893. The cubic root of 677984256 is about 878.4961643352.

The spelling of 677984256 in words is "six hundred seventy-seven million, nine hundred eighty-four thousand, two hundred fifty-six".