1283788800 has 468 divisors, whose sum is σ = 5281556800. Its totient is φ = 291962880.

The previous prime is 1283788783. The next prime is 1283788801. The reversal of 1283788800 is 88873821.

It is a happy number.

It is a super-2 number, since 2×1283788800² = 3296227366010880000, which contains 22 as substring.

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 (1283788801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6451101 + ... + 6451299.

Almost surely, 2^1283788800 is an apocalyptic number.

1283788800 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 1283788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640778400).

1283788800 is an abundant number, since it is smaller than the sum of its proper divisors (3997768000).

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

1283788800 is a wasteful number, since it uses less digits than its factorization.

1283788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1283788800 is about 35829.9986045213. The cubic root of 1283788800 is about 1086.8372815191.

The spelling of 1283788800 in words is "one billion, two hundred eighty-three million, seven hundred eighty-eight thousand, eight hundred".