85777032 has 64 divisors (see below), whose sum is σ = 237945600. Its totient is φ = 25547840.

The previous prime is 85777009. The next prime is 85777049. The reversal of 85777032 is 23077758.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12823 + ... + 18329.

It is an arithmetic number, because the mean of its divisors is an integer number (3717900).

Almost surely, 2^85777032 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 85777032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118972800).

85777032 is an abundant number, since it is smaller than the sum of its proper divisors (152168568).

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

85777032 is a wasteful number, since it uses less digits than its factorization.

85777032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 85777032 is about 9261.5890645180. The cubic root of 85777032 is about 441.0187002626.

The spelling of 85777032 in words is "eighty-five million, seven hundred seventy-seven thousand, thirty-two".