677851680 has 192 divisors, whose sum is σ = 2350809216. Its totient is φ = 164172800.

The previous prime is 677851667. The next prime is 677851711. The reversal of 677851680 is 86158776.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 638350 + ... + 639410.

It is an arithmetic number, because the mean of its divisors is an integer number (12243798).

Almost surely, 2^677851680 is an apocalyptic number.

677851680 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 677851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175404608).

677851680 is an abundant number, since it is smaller than the sum of its proper divisors (1672957536).

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

677851680 is a wasteful number, since it uses less digits than its factorization.

677851680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 677851680 is about 26035.5848791611. The cubic root of 677851680 is about 878.4388989446.

The spelling of 677851680 in words is "six hundred seventy-seven million, eight hundred fifty-one thousand, six hundred eighty".