805481160 has 256 divisors, whose sum is σ = 2819266560. Its totient is φ = 182138880.

The previous prime is 805481143. The next prime is 805481207. The reversal of 805481160 is 61184508.

It is a Cunningham number, because it is equal to 28381²-1.

It is a super-2 number, since 2×805481160² = 1297599798229891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1305172 + ... + 1305788.

It is an arithmetic number, because the mean of its divisors is an integer number (11012760).

Almost surely, 2^805481160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805481160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409633280).

805481160 is an abundant number, since it is smaller than the sum of its proper divisors (2013785400).

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

805481160 is a wasteful number, since it uses less digits than its factorization.

805481160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 805481160 is about 28380.9999823826. Note that the first 4 decimals coincide. The cubic root of 805481160 is about 930.4330507195.

The spelling of 805481160 in words is "eight hundred five million, four hundred eighty-one thousand, one hundred sixty".