202080000 has 180 divisors, whose sum is σ = 673665608. Its totient is φ = 53760000.

The previous prime is 202079993. The next prime is 202080013. The reversal of 202080000 is 80202.

202080000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479790 + ... + 480210.

Almost surely, 2^202080000 is an apocalyptic number.

202080000 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 202080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336832804).

202080000 is an abundant number, since it is smaller than the sum of its proper divisors (471585608).

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

202080000 is an frugal number, since it uses more digits than its factorization.

202080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 202080000 is about 14215.4845151335. The cubic root of 202080000 is about 586.8238788957.

The spelling of 202080000 in words is "two hundred two million, eighty thousand".