677665360 has 80 divisors (see below), whose sum is σ = 1628467200. Its totient is φ = 262061568.

The previous prime is 677665357. The next prime is 677665361. The reversal of 677665360 is 63566776.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 677665360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677665361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 529201 + ... + 530479.

It is an arithmetic number, because the mean of its divisors is an integer number (20355840).

Almost surely, 2^677665360 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 677665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

677665360 is an abundant number, since it is smaller than the sum of its proper divisors (950801840).

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

677665360 is a wasteful number, since it uses less digits than its factorization.

677665360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 46.

The square root of 677665360 is about 26032.0064535948. The cubic root of 677665360 is about 878.3584065406.

The spelling of 677665360 in words is "six hundred seventy-seven million, six hundred sixty-five thousand, three hundred sixty".