1268200800 has 180 divisors, whose sum is σ = 4625118036. Its totient is φ = 338169600.

The previous prime is 1268200781. The next prime is 1268200853. The reversal of 1268200800 is 80028621.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 55015 + ... + 74585.

Almost surely, 2^1268200800 is an apocalyptic number.

1268200800 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 1268200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312559018).

1268200800 is an abundant number, since it is smaller than the sum of its proper divisors (3356917236).

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

1268200800 is a wasteful number, since it uses less digits than its factorization.

1268200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19603 (or 19581 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1268200800 is about 35611.8070308149. The cubic root of 1268200800 is about 1082.4204970529.

The spelling of 1268200800 in words is "one billion, two hundred sixty-eight million, two hundred thousand, eight hundred".