677832007 has 8 divisors (see below), whose sum is σ = 719026416. Its totient is φ = 636784512.

The previous prime is 677831983. The next prime is 677832013. The reversal of 677832007 is 700238776.

677832007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 677832007 - 2⁷ = 677831879 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677832047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27148 + ... + 45745.

It is an arithmetic number, because the mean of its divisors is an integer number (89878302).

Almost surely, 2^677832007 is an apocalyptic number.

677832007 is a deficient number, since it is larger than the sum of its proper divisors (41194409).

677832007 is a wasteful number, since it uses less digits than its factorization.

677832007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73457.

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 677832007 is about 26035.2070665858. The cubic root of 677832007 is about 878.4304006766.

The spelling of 677832007 in words is "six hundred seventy-seven million, eight hundred thirty-two thousand, seven".