805536480 has 288 divisors, whose sum is σ = 3056084640. Its totient is φ = 177623040.

The previous prime is 805536467. The next prime is 805536539. The reversal of 805536480 is 84635508.

It is a happy number.

It is a super-2 number, since 2×805536480² = 1297778041221580800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681490 + ... + 682670.

It is an arithmetic number, because the mean of its divisors is an integer number (10611405).

Almost surely, 2^805536480 is an apocalyptic number.

805536480 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 805536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528042320).

805536480 is an abundant number, since it is smaller than the sum of its proper divisors (2250548160).

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

805536480 is a wasteful number, since it uses less digits than its factorization.

805536480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 805536480 is about 28381.9745613303. The cubic root of 805536480 is about 930.4543507741.

The spelling of 805536480 in words is "eight hundred five million, five hundred thirty-six thousand, four hundred eighty".