1799982000 has 400 divisors, whose sum is σ = 6684822144. Its totient is φ = 466560000.

The previous prime is 1799981969. The next prime is 1799982007. The reversal of 1799982000 is 2899971.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1799982007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6641865 + ... + 6642135.

Almost surely, 2^1799982000 is an apocalyptic number.

1799982000 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 1799982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342411072).

1799982000 is an abundant number, since it is smaller than the sum of its proper divisors (4884840144).

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

1799982000 is a wasteful number, since it uses less digits than its factorization.

1799982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1799982000 is about 42426.1947386282. The cubic root of 1799982000 is about 1216.4363442998.

It can be divided in two parts, 17999 and 82000, that added together give a palindrome (99999).

The spelling of 1799982000 in words is "one billion, seven hundred ninety-nine million, nine hundred eighty-two thousand".