677004577 has 8 divisors (see below), whose sum is σ = 703117800. Its totient is φ = 651302784.

The previous prime is 677004553. The next prime is 677004607. The reversal of 677004577 is 775400776.

It can be written as a sum of positive squares in 4 ways, for example, as 150577441 + 526427136 = 12271^2 + 22944^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 677004577 - 2¹⁹ = 676480289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (677004547) 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 7 ways as a sum of consecutive naturals, for example, 99502 + ... + 106087.

It is an arithmetic number, because the mean of its divisors is an integer number (87889725).

Almost surely, 2^677004577 is an apocalyptic number.

It is an amenable number.

677004577 is a deficient number, since it is larger than the sum of its proper divisors (26113223).

677004577 is a wasteful number, since it uses less digits than its factorization.

677004577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205715.

The product of its (nonzero) digits is 288120, while the sum is 43.

The square root of 677004577 is about 26019.3116165666. The cubic root of 677004577 is about 878.0728216055.

The spelling of 677004577 in words is "six hundred seventy-seven million, four thousand, five hundred seventy-seven".