677456784 has 105 divisors (see below), whose sum is σ = 1976158209. Its totient is φ = 224881920.

The previous prime is 677456779. The next prime is 677456831. The reversal of 677456784 is 487654776.

The square root of 677456784 is 26028.

It is a perfect power (a square), and thus also a powerful number.

677456784 is a `hidden beast` number, since 6 + 7 + 74 + 567 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 509495184 + 167961600 = 22572^2 + 12960^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 677456784.

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 20 ways as a sum of consecutive naturals, for example, 2810904 + ... + 2811144.

Almost surely, 2^677456784 is an apocalyptic number.

677456784 is the 26028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677456784

677456784 is an abundant number, since it is smaller than the sum of its proper divisors (1298701425).

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

677456784 is an frugal number, since it uses more digits than its factorization.

677456784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 246 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The cubic root of 677456784 is about 878.2682817814.

It can be divided in two parts, 67745 and 6784, that added together give a square (74529 = 273²).

The spelling of 677456784 in words is "six hundred seventy-seven million, four hundred fifty-six thousand, seven hundred eighty-four".