76311367 has 16 divisors (see below), whose sum is σ = 87413760. Its totient is φ = 65980800.

The previous prime is 76311349. The next prime is 76311371.

It is a happy number.

76311367 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 76311367 - 2¹¹ = 76309319 is a prime.

It is a super-3 number, since 3×76311367³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76311307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18223 + ... + 22015.

It is an arithmetic number, because the mean of its divisors is an integer number (5463360).

Almost surely, 2^76311367 is an apocalyptic number.

76311367 is a deficient number, since it is larger than the sum of its proper divisors (11102393).

76311367 is a wasteful number, since it uses less digits than its factorization.

76311367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894.

The product of its digits is 15876, while the sum is 34.

The square root of 76311367 is about 8735.6377557680. The cubic root of 76311367 is about 424.1600332621.

It can be divided in two parts, 7631 and 1367, that added together give a palindrome (8998).

The spelling of 76311367 in words is "seventy-six million, three hundred eleven thousand, three hundred sixty-seven".