1822726800 has 300 divisors, whose sum is σ = 6618249396. Its totient is φ = 480384000.

The previous prime is 1822726783. The next prime is 1822726813. The reversal of 1822726800 is 86272281.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15116544 + 1807610256 = 3888^2 + 42516^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3272122 + ... + 3272678.

Almost surely, 2^1822726800 is an apocalyptic number.

1822726800 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 1822726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309124698).

1822726800 is an abundant number, since it is smaller than the sum of its proper divisors (4795522596).

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

1822726800 is a wasteful number, since it uses less digits than its factorization.

1822726800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1822726800 is about 42693.4046428719. The cubic root of 1822726800 is about 1221.5385944949.

The spelling of 1822726800 in words is "one billion, eight hundred twenty-two million, seven hundred twenty-six thousand, eight hundred".