677287520 has 192 divisors, whose sum is σ = 1987929216. Its totient is φ = 212336640.

The previous prime is 677287493. The next prime is 677287549. The reversal of 677287520 is 25782776.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2635232 + ... + 2635488.

It is an arithmetic number, because the mean of its divisors is an integer number (10353798).

Almost surely, 2^677287520 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 677287520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993964608).

677287520 is an abundant number, since it is smaller than the sum of its proper divisors (1310641696).

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

677287520 is a wasteful number, since it uses less digits than its factorization.

677287520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The square root of 677287520 is about 26024.7482216447. The cubic root of 677287520 is about 878.1951299639.

The spelling of 677287520 in words is "six hundred seventy-seven million, two hundred eighty-seven thousand, five hundred twenty".