202880 has 32 divisors (see below), whose sum is σ = 486540. Its totient is φ = 80896.

The previous prime is 202879. The next prime is 202889. The reversal of 202880 is 88202.

It can be written as a sum of positive squares in 2 ways, for example, as 179776 + 23104 = 424^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 202880.

It is not an unprimeable number, because it can be changed into a prime (202889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 482 + ... + 798.

2²⁰²⁸⁸⁰ is an apocalyptic number.

202880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243270).

202880 is an abundant number, since it is smaller than the sum of its proper divisors (283660).

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

202880 is an equidigital number, since it uses as much as digits as its factorization.

202880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 202880 is about 450.4220243283. The cubic root of 202880 is about 58.7597237565.

It can be divided in two parts, 20 and 2880, that multiplied together give a square (57600 = 240²).

The spelling of 202880 in words is "two hundred two thousand, eight hundred eighty".