76457406076705 has 8 divisors (see below), whose sum is σ = 93479998373352. Its totient is φ = 60011850807168.

The previous prime is 76457406076679. The next prime is 76457406076757. The reversal of 76457406076705 is 50767060475467.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21358733645601 + 55098672431104 = 4621551^2 + 7422848^2 .

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 76457406076705 - 2⁵ = 76457406076673 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144259256484 + ... + 144259257013.

It is an arithmetic number, because the mean of its divisors is an integer number (11684999796669).

Almost surely, 2^{76457406076705} is an apocalyptic number.

It is an amenable number.

76457406076705 is a deficient number, since it is larger than the sum of its proper divisors (17022592296647).

76457406076705 is a wasteful number, since it uses less digits than its factorization.

76457406076705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288518513555.

The product of its (nonzero) digits is 207446400, while the sum is 64.

The spelling of 76457406076705 in words is "seventy-six trillion, four hundred fifty-seven billion, four hundred six million, seventy-six thousand, seven hundred five".