676779456 has 112 divisors (see below), whose sum is σ = 1849831200. Its totient is φ = 218234880.

The previous prime is 676779443. The next prime is 676779457. The reversal of 676779456 is 654977676.

It is a junction number, because it is equal to n+sod(n) for n = 676779396 and 676779405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676779457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1172640 + ... + 1173216.

It is an arithmetic number, because the mean of its divisors is an integer number (16516350).

Almost surely, 2^676779456 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 676779456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924915600).

676779456 is an abundant number, since it is smaller than the sum of its proper divisors (1173051744).

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

676779456 is a wasteful number, since it uses less digits than its factorization.

676779456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 772 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 57.

The square root of 676779456 is about 26014.9852200611. The cubic root of 676779456 is about 877.9754837377.

The spelling of 676779456 in words is "six hundred seventy-six million, seven hundred seventy-nine thousand, four hundred fifty-six".