1827820800 has 324 divisors, whose sum is σ = 7040437404. Its totient is φ = 449740800.

The previous prime is 1827820783. The next prime is 1827820829. The reversal of 1827820800 is 80287281.

It can be written as a sum of positive squares in 6 ways, for example, as 535274496 + 1292546304 = 23136^2 + 35952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 747580 + ... + 750020.

Almost surely, 2^1827820800 is an apocalyptic number.

1827820800 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 1827820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520218702).

1827820800 is an abundant number, since it is smaller than the sum of its proper divisors (5212616604).

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

1827820800 is a wasteful number, since it uses less digits than its factorization.

1827820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1827820800 is about 42753.0209458934. The cubic root of 1827820800 is about 1222.6754863693.

The spelling of 1827820800 in words is "one billion, eight hundred twenty-seven million, eight hundred twenty thousand, eight hundred".