1830100800 has 504 divisors, whose sum is σ = 6936931008. Its totient is φ = 421273600.

The previous prime is 1830100747. The next prime is 1830100817. The reversal of 1830100800 is 80010381.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13358332 + ... + 13358468.

It is an arithmetic number, because the mean of its divisors is an integer number (13763752).

Almost surely, 2^1830100800 is an apocalyptic number.

1830100800 is a gapful number since it is divisible by the number (10) 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 1830100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468465504).

1830100800 is an abundant number, since it is smaller than the sum of its proper divisors (5106830208).

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

1830100800 is a wasteful number, since it uses less digits than its factorization.

1830100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1830100800 is about 42779.6774181386. The cubic root of 1830100800 is about 1223.1836583225.

The spelling of 1830100800 in words is "one billion, eight hundred thirty million, one hundred thousand, eight hundred".