1287383760 has 480 divisors, whose sum is σ = 5079674880. Its totient is φ = 297851904.

The previous prime is 1287383737. The next prime is 1287383791. The reversal of 1287383760 is 673837821.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10136817 + ... + 10136943.

It is an arithmetic number, because the mean of its divisors is an integer number (10582656).

Almost surely, 2^1287383760 is an apocalyptic number.

1287383760 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 1287383760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539837440).

1287383760 is an abundant number, since it is smaller than the sum of its proper divisors (3792291120).

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

1287383760 is a wasteful number, since it uses less digits than its factorization.

1287383760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1287383760 is about 35880.1304345455. The cubic root of 1287383760 is about 1087.8508166633.

The spelling of 1287383760 in words is "one billion, two hundred eighty-seven million, three hundred eighty-three thousand, seven hundred sixty".