76314788741367 has 144 divisors (see below), whose sum is σ = 129682500105600. Its totient is φ = 42769204813440.

The previous prime is 76314788741297. The next prime is 76314788741381.

76314788741367 is a `hidden beast` number, since 7 + 6 + 3 + 1 + 4 + 78 + 87 + 413 + 67 = 666.

76314788741367 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76314788741367 - 2¹⁹ = 76314788217079 is a prime.

It is a super-3 number, since 3×76314788741367³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76314788741295 and 76314788741304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76314788741267) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5804723688 + ... + 5804736834.

It is an arithmetic number, because the mean of its divisors is an integer number (900572917400).

Almost surely, 2^{76314788741367} is an apocalyptic number.

76314788741367 is a deficient number, since it is larger than the sum of its proper divisors (53367711364233).

76314788741367 is a wasteful number, since it uses less digits than its factorization.

76314788741367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14938 (or 14892 counting only the distinct ones).

The product of its digits is 796594176, while the sum is 72.

The spelling of 76314788741367 in words is "seventy-six trillion, three hundred fourteen billion, seven hundred eighty-eight million, seven hundred forty-one thousand, three hundred sixty-seven".