210080000 has 180 divisors, whose sum is σ = 569901948. Its totient is φ = 76800000.

The previous prime is 210079997. The next prime is 210080009. The reversal of 210080000 is 80012.

It can be written as a sum of positive squares in 10 ways, for example, as 143233024 + 66846976 = 11968^2 + 8176^2 .

It is not an unprimeable number, because it can be changed into a prime (210080009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2079950 + ... + 2080050.

Almost surely, 2^210080000 is an apocalyptic number.

210080000 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 210080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284950974).

210080000 is an abundant number, since it is smaller than the sum of its proper divisors (359821948).

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

210080000 is an equidigital number, since it uses as much as digits as its factorization.

210080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 210080000 is about 14494.1367455948. The cubic root of 210080000 is about 594.4676640678.

The spelling of 210080000 in words is "two hundred ten million, eighty thousand".