677779856 has 160 divisors (see below), whose sum is σ = 1574899200. Its totient is φ = 279797760.

The previous prime is 677779853. The next prime is 677779859. The reversal of 677779856 is 658977776.

It is an interprime number because it is at equal distance from previous prime (677779853) and next prime (677779859).

It is not an unprimeable number, because it can be changed into a prime (677779853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7615460 + ... + 7615548.

It is an arithmetic number, because the mean of its divisors is an integer number (9843120).

Almost surely, 2^677779856 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 677779856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787449600).

677779856 is an abundant number, since it is smaller than the sum of its proper divisors (897119344).

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

677779856 is a wasteful number, since it uses less digits than its factorization.

677779856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its digits is 31116960, while the sum is 62.

The square root of 677779856 is about 26034.2054996883. The cubic root of 677779856 is about 878.4078718896.

The spelling of 677779856 in words is "six hundred seventy-seven million, seven hundred seventy-nine thousand, eight hundred fifty-six".