768242673 has 36 divisors (see below), whose sum is σ = 1226269044. Its totient is φ = 463108800.

The previous prime is 768242669. The next prime is 768242677. The reversal of 768242673 is 376242867.

It is an interprime number because it is at equal distance from previous prime (768242669) and next prime (768242677).

It can be written as a sum of positive squares in 2 ways, for example, as 725117184 + 43125489 = 26928^2 + 6567^2 .

It is not a de Polignac number, because 768242673 - 2² = 768242669 is a prime.

It is not an unprimeable number, because it can be changed into a prime (768242677) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 212743 + ... + 216323.

It is an arithmetic number, because the mean of its divisors is an integer number (34063029).

Almost surely, 2^768242673 is an apocalyptic number.

It is an amenable number.

768242673 is a deficient number, since it is larger than the sum of its proper divisors (458026371).

768242673 is a wasteful number, since it uses less digits than its factorization.

768242673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3792 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 768242673 is about 27717.1909290967. The cubic root of 768242673 is about 915.8678391766.

It can be divided in two parts, 76824 and 2673, that added together give a palindrome (79497).

The spelling of 768242673 in words is "seven hundred sixty-eight million, two hundred forty-two thousand, six hundred seventy-three".