676978560 has 224 divisors, whose sum is σ = 2428165080. Its totient is φ = 180403200.

The previous prime is 676978559. The next prime is 676978579. The reversal of 676978560 is 65879676.

It is a happy number.

676978560 is a `hidden beast` number, since 6 + 7 + 6 + 9 + 78 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 676978497 and 676978506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 465835 + ... + 467285.

Almost surely, 2^676978560 is an apocalyptic number.

676978560 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 676978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214082540).

676978560 is an abundant number, since it is smaller than the sum of its proper divisors (1751186520).

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

676978560 is an equidigital number, since it uses as much as digits as its factorization.

676978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1461 counting only the distinct ones).

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

The square root of 676978560 is about 26018.8116561845. The cubic root of 676978560 is about 878.0615734721.

The spelling of 676978560 in words is "six hundred seventy-six million, nine hundred seventy-eight thousand, five hundred sixty".