1020844800 has 324 divisors, whose sum is σ = 3756217920. Its totient is φ = 264314880.

The previous prime is 1020844793. The next prime is 1020844807. The reversal of 1020844800 is 84480201.

1020844800 is a `hidden beast` number, since 10 + 208 + 448 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1020844793) and next prime (1020844807).

It is not an unprimeable number, because it can be changed into a prime (1020844807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2130961 + ... + 2131439.

Almost surely, 2^1020844800 is an apocalyptic number.

1020844800 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 1020844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878108960).

1020844800 is an abundant number, since it is smaller than the sum of its proper divisors (2735373120).

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

1020844800 is a wasteful number, since it uses less digits than its factorization.

1020844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1020844800 is about 31950.6619649734. The cubic root of 1020844800 is about 1006.9005396900.

The spelling of 1020844800 in words is "one billion, twenty million, eight hundred forty-four thousand, eight hundred".