1280129760 has 288 divisors, whose sum is σ = 5377095360. Its totient is φ = 270065664.

The previous prime is 1280129749. The next prime is 1280129771. The reversal of 1280129760 is 679210821.

It is an interprime number because it is at equal distance from previous prime (1280129749) and next prime (1280129771).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 126156 + ... + 135924.

It is an arithmetic number, because the mean of its divisors is an integer number (18670470).

Almost surely, 2^1280129760 is an apocalyptic number.

1280129760 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 1280129760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688547680).

1280129760 is an abundant number, since it is smaller than the sum of its proper divisors (4096965600).

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

1280129760 is a wasteful number, since it uses less digits than its factorization.

1280129760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9810 (or 9799 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1280129760 is about 35778.9010451691. The cubic root of 1280129760 is about 1085.8037352763.

The spelling of 1280129760 in words is "one billion, two hundred eighty million, one hundred twenty-nine thousand, seven hundred sixty".