1200380760 has 192 divisors, whose sum is σ = 4167072000. Its totient is φ = 299013120.

The previous prime is 1200380749. The next prime is 1200380773. The reversal of 1200380760 is 670830021.

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, 321786 + ... + 325494.

It is an arithmetic number, because the mean of its divisors is an integer number (21703500).

Almost surely, 2^1200380760 is an apocalyptic number.

1200380760 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 1200380760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083536000).

1200380760 is an abundant number, since it is smaller than the sum of its proper divisors (2966691240).

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

1200380760 is a wasteful number, since it uses less digits than its factorization.

1200380760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1200380760 is about 34646.5115127050. The cubic root of 1200380760 is about 1062.7709511518.

The spelling of 1200380760 in words is "one billion, two hundred million, three hundred eighty thousand, seven hundred sixty".