1272007800 has 288 divisors, whose sum is σ = 5064259200. Its totient is φ = 290666880.

The previous prime is 1272007799. The next prime is 1272007861. The reversal of 1272007800 is 87002721.

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 71 ways as a sum of consecutive naturals, for example, 338331 + ... + 342069.

Almost surely, 2^1272007800 is an apocalyptic number.

1272007800 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 1272007800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532129600).

1272007800 is an abundant number, since it is smaller than the sum of its proper divisors (3792251400).

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

1272007800 is a wasteful number, since it uses less digits than its factorization.

1272007800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1272007800 is about 35665.2183506564. The cubic root of 1272007800 is about 1083.5025176928.

The spelling of 1272007800 in words is "one billion, two hundred seventy-two million, seven thousand, eight hundred".