676879560 has 384 divisors, whose sum is σ = 2698675200. Its totient is φ = 143700480.

The previous prime is 676879549. The next prime is 676879561. The reversal of 676879560 is 65978676.

It is a happy number.

676879560 is a `hidden beast` number, since 6 + 7 + 6 + 8 + 79 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 676879497 and 676879506.

It is not an unprimeable number, because it can be changed into a prime (676879561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3207855 + ... + 3208065.

It is an arithmetic number, because the mean of its divisors is an integer number (7027800).

Almost surely, 2^676879560 is an apocalyptic number.

676879560 is a gapful number since it is divisible by the number (60) 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 676879560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349337600).

676879560 is an abundant number, since it is smaller than the sum of its proper divisors (2021795640).

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

676879560 is a wasteful number, since it uses less digits than its factorization.

676879560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 676879560 is about 26016.9091169570. The cubic root of 676879560 is about 878.0187693920.

The spelling of 676879560 in words is "six hundred seventy-six million, eight hundred seventy-nine thousand, five hundred sixty".