1284008800 has 72 divisors (see below), whose sum is σ = 3154860576. Its totient is φ = 510282240.

The previous prime is 1284008797. The next prime is 1284008813. The reversal of 1284008800 is 88004821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120489 + ... + 130711.

It is an arithmetic number, because the mean of its divisors is an integer number (43817508).

Almost surely, 2^1284008800 is an apocalyptic number.

1284008800 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 1284008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577430288).

1284008800 is an abundant number, since it is smaller than the sum of its proper divisors (1870851776).

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

1284008800 is a wasteful number, since it uses less digits than its factorization.

1284008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10400 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 1284008800 is about 35833.0685261533. The cubic root of 1284008800 is about 1086.8993609268.

The spelling of 1284008800 in words is "one billion, two hundred eighty-four million, eight thousand, eight hundred".