677767680 has 240 divisors, whose sum is σ = 2451271680. Its totient is φ = 172744704.

The previous prime is 677767621. The next prime is 677767709. The reversal of 677767680 is 86767776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 529281 + ... + 530559.

It is an arithmetic number, because the mean of its divisors is an integer number (10213632).

Almost surely, 2^677767680 is an apocalyptic number.

677767680 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 677767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225635840).

677767680 is an abundant number, since it is smaller than the sum of its proper divisors (1773504000).

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

677767680 is a wasteful number, since it uses less digits than its factorization.

677767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The square root of 677767680 is about 26033.9716524390. The cubic root of 677767680 is about 878.4026117951.

The spelling of 677767680 in words is "six hundred seventy-seven million, seven hundred sixty-seven thousand, six hundred eighty".