1827812000 has 192 divisors, whose sum is σ = 5311837440. Its totient is φ = 604800000.

The previous prime is 1827811981. The next prime is 1827812003. The reversal of 1827812000 is 2187281.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (1827812003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810875 + ... + 813125.

It is an arithmetic number, because the mean of its divisors is an integer number (27665820).

Almost surely, 2^1827812000 is an apocalyptic number.

1827812000 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 1827812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655918720).

1827812000 is an abundant number, since it is smaller than the sum of its proper divisors (3484025440).

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

1827812000 is a wasteful number, since it uses less digits than its factorization.

1827812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 1827812000 is about 42752.9180290656. The cubic root of 1827812000 is about 1222.6735241854.

Adding to 1827812000 its reverse (2187281), we get a palindrome (1829999281).

The spelling of 1827812000 in words is "one billion, eight hundred twenty-seven million, eight hundred twelve thousand".