76768641 has 40 divisors (see below), whose sum is σ = 121271040. Its totient is φ = 48299328.

The previous prime is 76768633. The next prime is 76768649. The reversal of 76768641 is 14686767.

It is an interprime number because it is at equal distance from previous prime (76768633) and next prime (76768649).

It is not a de Polignac number, because 76768641 - 2³ = 76768633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76768649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165576 + ... + 166038.

It is an arithmetic number, because the mean of its divisors is an integer number (3031776).

Almost surely, 2^76768641 is an apocalyptic number.

It is an amenable number.

76768641 is a deficient number, since it is larger than the sum of its proper divisors (44502399).

76768641 is a wasteful number, since it uses less digits than its factorization.

76768641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 578 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 76768641 is about 8761.7715674400. The cubic root of 76768641 is about 425.0055657864.

The spelling of 76768641 in words is "seventy-six million, seven hundred sixty-eight thousand, six hundred forty-one".