807596961 has 8 divisors (see below), whose sum is σ = 1077254400. Its totient is φ = 538168752.

The previous prime is 807596929. The next prime is 807596971. The reversal of 807596961 is 169695708.

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

It is not a de Polignac number, because 807596961 - 2⁵ = 807596929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (807596971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48910 + ... + 63303.

It is an arithmetic number, because the mean of its divisors is an integer number (134656800).

Almost surely, 2^807596961 is an apocalyptic number.

It is an amenable number.

807596961 is a deficient number, since it is larger than the sum of its proper divisors (269657439).

807596961 is a wasteful number, since it uses less digits than its factorization.

807596961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114615.

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 807596961 is about 28418.2504915415. The cubic root of 807596961 is about 931.2470114103.

The spelling of 807596961 in words is "eight hundred seven million, five hundred ninety-six thousand, nine hundred sixty-one".