85765876 has 72 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 34856640.

The previous prime is 85765861. The next prime is 85765877. The reversal of 85765876 is 67856758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85765877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448941 + ... + 449131.

It is an arithmetic number, because the mean of its divisors is an integer number (2553600).

Almost surely, 2^85765876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85765876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

85765876 is an abundant number, since it is smaller than the sum of its proper divisors (98093324).

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

85765876 is a wasteful number, since it uses less digits than its factorization.

85765876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 52.

The square root of 85765876 is about 9260.9867724773. The cubic root of 85765876 is about 440.9995800785. Note that the first 3 decimals are identical.

The spelling of 85765876 in words is "eighty-five million, seven hundred sixty-five thousand, eight hundred seventy-six".