1279872000 has 528 divisors, whose sum is σ = 5081210784. Its totient is φ = 307200000.

The previous prime is 1279871951. The next prime is 1279872043. The reversal of 1279872000 is 2789721.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12671950 + ... + 12672050.

Almost surely, 2^1279872000 is an apocalyptic number.

1279872000 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 1279872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540605392).

1279872000 is an abundant number, since it is smaller than the sum of its proper divisors (3801338784).

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

1279872000 is a wasteful number, since it uses less digits than its factorization.

1279872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1279872000 is about 35775.2987408910. The cubic root of 1279872000 is about 1085.7308531966.

The spelling of 1279872000 in words is "one billion, two hundred seventy-nine million, eight hundred seventy-two thousand".