76985601 has 16 divisors (see below), whose sum is σ = 127976448. Its totient is φ = 39992400.

The previous prime is 76985569. The next prime is 76985603. The reversal of 76985601 is 10658967.

It is not a de Polignac number, because 76985601 - 2⁵ = 76985569 is a prime.

It is a super-2 number, since 2×76985601² = 11853565522662402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76985603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166405 + ... + 166866.

It is an arithmetic number, because the mean of its divisors is an integer number (7998528).

Almost surely, 2^76985601 is an apocalyptic number.

It is an amenable number.

76985601 is a deficient number, since it is larger than the sum of its proper divisors (50990847).

76985601 is a wasteful number, since it uses less digits than its factorization.

76985601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333292.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 76985601 is about 8774.1438898618. The cubic root of 76985601 is about 425.4055662583.

The spelling of 76985601 in words is "seventy-six million, nine hundred eighty-five thousand, six hundred one".