805301280 has 432 divisors, whose sum is σ = 3256979544. Its totient is φ = 180633600.

The previous prime is 805301257. The next prime is 805301303. The reversal of 805301280 is 82103508.

It is a happy number.

805301280 is a `hidden beast` number, since 8 + 0 + 530 + 128 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (805301257) and next prime (805301303).

It can be written as a sum of positive squares in 4 ways, for example, as 622402704 + 182898576 = 24948^2 + 13524^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7126504 + ... + 7126616.

Almost surely, 2^805301280 is an apocalyptic number.

805301280 is a gapful number since it is divisible by the number (80) 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 805301280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628489772).

805301280 is an abundant number, since it is smaller than the sum of its proper divisors (2451678264).

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

805301280 is a wasteful number, since it uses less digits than its factorization.

805301280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 805301280 is about 28377.8307839059. The cubic root of 805301280 is about 930.3637841470.

Adding to 805301280 its reverse (82103508), we get a palindrome (887404788).

It can be divided in two parts, 80530 and 1280, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 805301280 in words is "eight hundred five million, three hundred one thousand, two hundred eighty".