1827823680 has 336 divisors, whose sum is σ = 6843461040. Its totient is φ = 445906944.

The previous prime is 1827823651. The next prime is 1827823757. The reversal of 1827823680 is 863287281.

1827823680 is a `hidden beast` number, since 18 + 278 + 2 + 368 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 75898944 + 1751924736 = 8712^2 + 41856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1811016 + ... + 1812024.

Almost surely, 2^1827823680 is an apocalyptic number.

1827823680 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 1827823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421730520).

1827823680 is an abundant number, since it is smaller than the sum of its proper divisors (5015637360).

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

1827823680 is a wasteful number, since it uses less digits than its factorization.

1827823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1827823680 is about 42753.0546277105. The cubic root of 1827823680 is about 1222.6761285372.

The spelling of 1827823680 in words is "one billion, eight hundred twenty-seven million, eight hundred twenty-three thousand, six hundred eighty".