677404729 has 9 divisors (see below), whose sum is σ = 720066351. Its totient is φ = 637140960.

The previous prime is 677404723. The next prime is 677404751. The reversal of 677404729 is 927404776.

The square root of 677404729 is 26027.

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

It can be written as a sum of positive squares in only one way, i.e., 527391225 + 150013504 = 22965^2 + 12248^2 .

It is not a de Polignac number, because 677404729 - 2⁷ = 677404601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (677404723) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 441694 + ... + 443224.

Almost surely, 2^677404729 is an apocalyptic number.

677404729 is the 26027-th square number.

677404729 is the 13014-th centered octagonal number.

It is an amenable number.

677404729 is a deficient number, since it is larger than the sum of its proper divisors (42661622).

677404729 is an frugal number, since it uses more digits than its factorization.

677404729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The cubic root of 677404729 is about 878.2457861637.

The spelling of 677404729 in words is "six hundred seventy-seven million, four hundred four thousand, seven hundred twenty-nine".