205375820 has 48 divisors (see below), whose sum is σ = 469035840. Its totient is φ = 75085056.

The previous prime is 205375811. The next prime is 205375823. The reversal of 205375820 is 28573502.

205375820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205375823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22946 + ... + 30614.

It is an arithmetic number, because the mean of its divisors is an integer number (9771580).

Almost surely, 2^205375820 is an apocalyptic number.

205375820 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 205375820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234517920).

205375820 is an abundant number, since it is smaller than the sum of its proper divisors (263660020).

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

205375820 is a wasteful number, since it uses less digits than its factorization.

205375820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794 (or 7792 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 205375820 is about 14330.9392574248. The cubic root of 205375820 is about 589.9969548823.

The spelling of 205375820 in words is "two hundred five million, three hundred seventy-five thousand, eight hundred twenty".