1822800 has 180 divisors, whose sum is σ = 7011456. Its totient is φ = 403200.

The previous prime is 1822787. The next prime is 1822811. The reversal of 1822800 is 82281.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58785 + ... + 58815.

2^1822800 is an apocalyptic number.

1822800 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 1822800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505728).

1822800 is an abundant number, since it is smaller than the sum of its proper divisors (5188656).

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

1822800 is a wasteful number, since it uses less digits than its factorization.

1822800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1822800 is about 1350.1111065390. Note that the first 4 decimals coincide. The cubic root of 1822800 is about 122.1554946448.

The spelling of 1822800 in words is "one million, eight hundred twenty-two thousand, eight hundred".