1827799344 has 240 divisors, whose sum is σ = 6109608960. Its totient is φ = 518192640.

The previous prime is 1827799343. The next prime is 1827799381. The reversal of 1827799344 is 4439977281.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1827799343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6504484 + ... + 6504764.

It is an arithmetic number, because the mean of its divisors is an integer number (25456704).

Almost surely, 2^1827799344 is an apocalyptic number.

1827799344 is a gapful number since it is divisible by the number (14) 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 1827799344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054804480).

1827799344 is an abundant number, since it is smaller than the sum of its proper divisors (4281809616).

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

1827799344 is a wasteful number, since it uses less digits than its factorization.

1827799344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 532 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 1827799344 is about 42752.7700155206. The cubic root of 1827799344 is about 1222.6707021972.

The spelling of 1827799344 in words is "one billion, eight hundred twenty-seven million, seven hundred ninety-nine thousand, three hundred forty-four".