1282816080 has 360 divisors, whose sum is σ = 5398920072. Its totient is φ = 270563328.

The previous prime is 1282816069. The next prime is 1282816091. The reversal of 1282816080 is 806182821.

1282816080 is a `hidden beast` number, since 1 + 28 + 28 + 1 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1282816069) and next prime (1282816091).

It can be written as a sum of positive squares in 4 ways, for example, as 79281216 + 1203534864 = 8904^2 + 34692^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×1282816080³ (a number of 28 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 457242 + ... + 460038.

Almost surely, 2^1282816080 is an apocalyptic number.

1282816080 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 1282816080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699460036).

1282816080 is an abundant number, since it is smaller than the sum of its proper divisors (4116103992).

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

1282816080 is a wasteful number, since it uses less digits than its factorization.

1282816080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1282816080 is about 35816.4219318457. The cubic root of 1282816080 is about 1086.5627152038.

The spelling of 1282816080 in words is "one billion, two hundred eighty-two million, eight hundred sixteen thousand, eighty".