76768444953 has 32 divisors (see below), whose sum is σ = 118071820800. Its totient is φ = 49238179200.

The previous prime is 76768444931. The next prime is 76768444957. The reversal of 76768444953 is 35944486767.

It is a happy number.

76768444953 is a `hidden beast` number, since 7 + 67 + 6 + 84 + 4 + 495 + 3 = 666.

It is not a de Polignac number, because 76768444953 - 2¹⁸ = 76768182809 is a prime.

It is a super-3 number, since 3×76768444953³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (76768444957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45568 + ... + 394478.

It is an arithmetic number, because the mean of its divisors is an integer number (3689744400).

Almost surely, 2^76768444953 is an apocalyptic number.

It is an amenable number.

76768444953 is a deficient number, since it is larger than the sum of its proper divisors (41303375847).

76768444953 is a wasteful number, since it uses less digits than its factorization.

76768444953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349230 (or 349224 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 76768444953 in words is "seventy-six billion, seven hundred sixty-eight million, four hundred forty-four thousand, nine hundred fifty-three".