1278883200 has 192 divisors, whose sum is σ = 4814334720. Its totient is φ = 292300800.

The previous prime is 1278883189. The next prime is 1278883201. The reversal of 1278883200 is 23888721.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1278883201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57685 + ... + 76715.

It is an arithmetic number, because the mean of its divisors is an integer number (25074660).

Almost surely, 2^1278883200 is an apocalyptic number.

1278883200 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 1278883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407167360).

1278883200 is an abundant number, since it is smaller than the sum of its proper divisors (3535451520).

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

1278883200 is a wasteful number, since it uses less digits than its factorization.

1278883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19065 (or 19048 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 1278883200 is about 35761.4764795862. The cubic root of 1278883200 is about 1085.4511775055.

The spelling of 1278883200 in words is "one billion, two hundred seventy-eight million, eight hundred eighty-three thousand, two hundred".