768187047 has 16 divisors (see below), whose sum is σ = 1029200000. Its totient is φ = 509657184.

The previous prime is 768187033. The next prime is 768187087. The reversal of 768187047 is 740781867.

It is not a de Polignac number, because 768187047 - 2⁴ = 768187031 is a prime.

It is a super-2 number, since 2×768187047² = 1180222678357160418, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 768186987 and 768187005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768187087) 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 15 ways as a sum of consecutive naturals, for example, 926229 + ... + 927057.

It is an arithmetic number, because the mean of its divisors is an integer number (64325000).

Almost surely, 2^768187047 is an apocalyptic number.

768187047 is a deficient number, since it is larger than the sum of its proper divisors (261012953).

768187047 is a wasteful number, since it uses less digits than its factorization.

768187047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950.

The product of its (nonzero) digits is 526848, while the sum is 48.

The square root of 768187047 is about 27716.1874542658. The cubic root of 768187047 is about 915.8457336207.

The spelling of 768187047 in words is "seven hundred sixty-eight million, one hundred eighty-seven thousand, forty-seven".