77000667 has 16 divisors (see below), whose sum is σ = 109447200. Its totient is φ = 47985152.

The previous prime is 77000653. The next prime is 77000669. The reversal of 77000667 is 76600077.

It is a happy number.

It is not a de Polignac number, because 77000667 - 2⁸ = 77000411 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (77000669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2533 + ... + 12665.

It is an arithmetic number, because the mean of its divisors is an integer number (6840450).

Almost surely, 2^77000667 is an apocalyptic number.

77000667 is a deficient number, since it is larger than the sum of its proper divisors (32446533).

77000667 is a wasteful number, since it uses less digits than its factorization.

77000667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10302.

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 77000667 is about 8775.0023931621. The cubic root of 77000667 is about 425.4333149201.

The spelling of 77000667 in words is "seventy-seven million, six hundred sixty-seven", and thus it is an aban number.