1287386880 has 576 divisors, whose sum is σ = 4932482688. Its totient is φ = 283115520.

The previous prime is 1287386873. The next prime is 1287386887. The reversal of 1287386880 is 886837821.

It is an interprime number because it is at equal distance from previous prime (1287386873) and next prime (1287386887).

It is a super-2 number, since 2×1287386880² = 3314729957592268800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287386887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31399660 + ... + 31399700.

It is an arithmetic number, because the mean of its divisors is an integer number (8563338).

Almost surely, 2^1287386880 is an apocalyptic number.

1287386880 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 1287386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466241344).

1287386880 is an abundant number, since it is smaller than the sum of its proper divisors (3645095808).

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

1287386880 is a wasteful number, since it uses less digits than its factorization.

1287386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The square root of 1287386880 is about 35880.1739126220. The cubic root of 1287386880 is about 1087.8516954719.

The spelling of 1287386880 in words is "one billion, two hundred eighty-seven million, three hundred eighty-six thousand, eight hundred eighty".