80085852 has 144 divisors (see below), whose sum is σ = 255370752. Its totient is φ = 20557440.

The previous prime is 80085847. The next prime is 80085877. The reversal of 80085852 is 25858008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 462838 + ... + 463010.

It is an arithmetic number, because the mean of its divisors is an integer number (1773408).

Almost surely, 2^80085852 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 80085852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127685376).

80085852 is an abundant number, since it is smaller than the sum of its proper divisors (175284900).

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

80085852 is a wasteful number, since it uses less digits than its factorization.

80085852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 80085852 is about 8949.0698958048. The cubic root of 80085852 is about 431.0410183416.

The spelling of 80085852 in words is "eighty million, eighty-five thousand, eight hundred fifty-two".