76727672767 has 8 divisors (see below), whose sum is σ = 78224959440. Its totient is φ = 75232223040.

The previous prime is 76727672759. The next prime is 76727672771.

76727672767 is nontrivially palindromic in base 10.

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 76727672767 - 2³ = 76727672759 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 76727672699 and 76727672708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76727672267) 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, 374734 + ... + 542107.

It is an arithmetic number, because the mean of its divisors is an integer number (9778119930).

Almost surely, 2^76727672767 is an apocalyptic number.

76727672767 is a deficient number, since it is larger than the sum of its proper divisors (1497286673).

76727672767 is a wasteful number, since it uses less digits than its factorization.

76727672767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918473.

The product of its digits is 101648736, while the sum is 64.

The spelling of 76727672767 in words is "seventy-six billion, seven hundred twenty-seven million, six hundred seventy-two thousand, seven hundred sixty-seven".