677704320 has 320 divisors, whose sum is σ = 2565901800. Its totient is φ = 169869312.

The previous prime is 677704297. The next prime is 677704351. The reversal of 677704320 is 23407776.

It can be written as a sum of positive squares in 4 ways, for example, as 588741696 + 88962624 = 24264^2 + 9432^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 880896 + ... + 881664.

Almost surely, 2^677704320 is an apocalyptic number.

677704320 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 677704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282950900).

677704320 is an abundant number, since it is smaller than the sum of its proper divisors (1888197480).

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

677704320 is a wasteful number, since it uses less digits than its factorization.

677704320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 677704320 is about 26032.7547524268. The cubic root of 677704320 is about 878.3752389329.

The spelling of 677704320 in words is "six hundred seventy-seven million, seven hundred four thousand, three hundred twenty".