677729601 has 24 divisors (see below), whose sum is σ = 1032062720. Its totient is φ = 427376736.

The previous prime is 677729561. The next prime is 677729609. The reversal of 677729601 is 106927776.

It is not a de Polignac number, because 677729601 - 2¹⁰ = 677728577 is a prime.

It is a super-4 number, since 4×677729601⁴ (a number of 36 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (677729609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122640 + ... + 128046.

Almost surely, 2^677729601 is an apocalyptic number.

It is an amenable number.

677729601 is a deficient number, since it is larger than the sum of its proper divisors (354333119).

677729601 is a wasteful number, since it uses less digits than its factorization.

677729601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6165 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 677729601 is about 26033.2403092662. The cubic root of 677729601 is about 878.3861610650.

The spelling of 677729601 in words is "six hundred seventy-seven million, seven hundred twenty-nine thousand, six hundred one".