76340329812117 has 160 divisors (see below), whose sum is σ = 133871101056000. Its totient is φ = 43334584989696.

The previous prime is 76340329812101. The next prime is 76340329812121. The reversal of 76340329812117 is 71121892304367.

76340329812117 is a `hidden beast` number, since 7 + 6 + 340 + 3 + 2 + 9 + 81 + 211 + 7 = 666.

It is not a de Polignac number, because 76340329812117 - 2⁴ = 76340329812101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76340329812317) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6378165109 + ... + 6378177077.

It is an arithmetic number, because the mean of its divisors is an integer number (836694381600).

Almost surely, 2^{76340329812117} is an apocalyptic number.

It is an amenable number.

76340329812117 is a deficient number, since it is larger than the sum of its proper divisors (57530771243883).

76340329812117 is a wasteful number, since it uses less digits than its factorization.

76340329812117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13502 (or 13479 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 76340329812117 in words is "seventy-six trillion, three hundred forty billion, three hundred twenty-nine million, eight hundred twelve thousand, one hundred seventeen".