76742224767 has 32 divisors (see below), whose sum is σ = 122478148800. Its totient is φ = 47210397696.

The previous prime is 76742224753. The next prime is 76742224781.

76742224767 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (76742224753) and next prime (76742224781).

It is not a de Polignac number, because 76742224767 - 2¹² = 76742220671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76742224717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077823 + ... + 1146815.

It is an arithmetic number, because the mean of its divisors is an integer number (3827442150).

Almost surely, 2^76742224767 is an apocalyptic number.

76742224767 is a deficient number, since it is larger than the sum of its proper divisors (45735924033).

76742224767 is a wasteful number, since it uses less digits than its factorization.

76742224767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72184 (or 72178 counting only the distinct ones).

The product of its digits is 11063808, while the sum is 54.

The spelling of 76742224767 in words is "seventy-six billion, seven hundred forty-two million, two hundred twenty-four thousand, seven hundred sixty-seven".