809055360 has 384 divisors, whose sum is σ = 3024552960. Its totient is φ = 198696960.

The previous prime is 809055343. The next prime is 809055371. The reversal of 809055360 is 63550908.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4106782 + ... + 4106978.

It is an arithmetic number, because the mean of its divisors is an integer number (7876440).

Almost surely, 2^809055360 is an apocalyptic number.

809055360 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 809055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512276480).

809055360 is an abundant number, since it is smaller than the sum of its proper divisors (2215497600).

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

809055360 is a wasteful number, since it uses less digits than its factorization.

809055360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 809055360 is about 28443.8984669823. The cubic root of 809055360 is about 931.8072384661.

The spelling of 809055360 in words is "eight hundred nine million, fifty-five thousand, three hundred sixty".