85768980 has 48 divisors (see below), whose sum is σ = 261987264. Its totient is φ = 20792320.

The previous prime is 85768967. The next prime is 85769003. The reversal of 85768980 is 8986758.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 64317 + ... + 65636.

It is an arithmetic number, because the mean of its divisors is an integer number (5458068).

Almost surely, 2^85768980 is an apocalyptic number.

It is an amenable number.

85768980 is an abundant number, since it is smaller than the sum of its proper divisors (176218284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85768980 is a wasteful number, since it uses less digits than its factorization.

85768980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129976 (or 129974 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 85768980 is about 9261.1543556945. The cubic root of 85768980 is about 441.0049001672.

The spelling of 85768980 in words is "eighty-five million, seven hundred sixty-eight thousand, nine hundred eighty".