805984480 has 96 divisors (see below), whose sum is σ = 2185989120. Its totient is φ = 275089920.

The previous prime is 805984457. The next prime is 805984483. The reversal of 805984480 is 84489508.

It is a super-2 number, since 2×805984480² = 1299221964001740800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 805984480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805984483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266175 + ... + 269185.

It is an arithmetic number, because the mean of its divisors is an integer number (22770720).

Almost surely, 2^805984480 is an apocalyptic number.

805984480 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 805984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092994560).

805984480 is an abundant number, since it is smaller than the sum of its proper divisors (1380004640).

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

805984480 is a wasteful number, since it uses less digits than its factorization.

805984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 805984480 is about 28389.8657974989. The cubic root of 805984480 is about 930.6268098774.

It can be divided in two parts, 80598 and 4480, that added together give a triangular number (85078 = T₄₁₂).

The spelling of 805984480 in words is "eight hundred five million, nine hundred eighty-four thousand, four hundred eighty".