768201641 has 8 divisors (see below), whose sum is σ = 771338568. Its totient is φ = 765072000.

The previous prime is 768201569. The next prime is 768201649. The reversal of 768201641 is 146102867.

It can be written as a sum of positive squares in 4 ways, for example, as 4840000 + 763361641 = 2200^2 + 27629^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-768201641 is a prime.

It is a super-2 number, since 2×768201641² = 1180267522470185762, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (768201649) 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 7 ways as a sum of consecutive naturals, for example, 303461 + ... + 305981.

It is an arithmetic number, because the mean of its divisors is an integer number (96417321).

Almost surely, 2^768201641 is an apocalyptic number.

It is an amenable number.

768201641 is a deficient number, since it is larger than the sum of its proper divisors (3136927).

768201641 is a wasteful number, since it uses less digits than its factorization.

768201641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 768201641 is about 27716.4507287640. The cubic root of 768201641 is about 915.8515333227.

The spelling of 768201641 in words is "seven hundred sixty-eight million, two hundred one thousand, six hundred forty-one".