1802000 has 80 divisors (see below), whose sum is σ = 4700592. Its totient is φ = 665600.

The previous prime is 1801997. The next prime is 1802029. The reversal of 1802000 is 2081.

It can be written as a sum of positive squares in 8 ways, for example, as 204304 + 1597696 = 452^2 + 1264^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33974 + ... + 34026.

2^1802000 is an apocalyptic number.

1802000 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 1802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350296).

1802000 is an abundant number, since it is smaller than the sum of its proper divisors (2898592).

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

1802000 is a wasteful number, since it uses less digits than its factorization.

1802000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1802000 is about 1342.3859355640. The cubic root of 1802000 is about 121.6890765835.

Adding to 1802000 its reverse (2081), we get a palindrome (1804081).

It can be divided in two parts, 180 and 2000, that multiplied together give a square (360000 = 600²).

The spelling of 1802000 in words is "one million, eight hundred two thousand".