852880 has 40 divisors (see below), whose sum is σ = 2267712. Its totient is φ = 292224.

The previous prime is 852871. The next prime is 852881. The reversal of 852880 is 88258.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (852881) by changing a digit.

852880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202 + ... + 1321.

2⁸⁵²⁸⁸⁰ is an apocalyptic number.

852880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

852880 is an abundant number, since it is smaller than the sum of its proper divisors (1414832).

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

852880 is a wasteful number, since it uses less digits than its factorization.

852880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 852880 is about 923.5150242416. The cubic root of 852880 is about 94.8336887039.

The spelling of 852880 in words is "eight hundred fifty-two thousand, eight hundred eighty".