768088957 has 16 divisors (see below), whose sum is σ = 817311600. Its totient is φ = 720783360.

The previous prime is 768088949. The next prime is 768088987. The reversal of 768088957 is 759880867.

It can be written as a sum of positive squares in 8 ways, for example, as 3345241 + 764743716 = 1829^2 + 27654^2 .

It is a cyclic number.

It is not a de Polignac number, because 768088957 - 2³ = 768088949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768088987) 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, 132169 + ... + 137857.

It is an arithmetic number, because the mean of its divisors is an integer number (51081975).

Almost surely, 2^768088957 is an apocalyptic number.

It is an amenable number.

768088957 is a deficient number, since it is larger than the sum of its proper divisors (49222643).

768088957 is a wasteful number, since it uses less digits than its factorization.

768088957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856.

The product of its (nonzero) digits is 6773760, while the sum is 58.

The square root of 768088957 is about 27714.4178542505. The cubic root of 768088957 is about 915.8067504362.

The spelling of 768088957 in words is "seven hundred sixty-eight million, eighty-eight thousand, nine hundred fifty-seven".