805936320 has 252 divisors, whose sum is σ = 3225235104. Its totient is φ = 184181760.

The previous prime is 805936309. The next prime is 805936321. The reversal of 805936320 is 23639508.

805936320 is a `hidden beast` number, since 8 + 0 + 593 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is not an unprimeable number, because it can be changed into a prime (805936321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138265 + ... + 143975.

It is an arithmetic number, because the mean of its divisors is an integer number (12798552).

Almost surely, 2^805936320 is an apocalyptic number.

805936320 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 805936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612617552).

805936320 is an abundant number, since it is smaller than the sum of its proper divisors (2419298784).

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

805936320 is a wasteful number, since it uses less digits than its factorization.

805936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5748 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 805936320 is about 28389.0175948376. The cubic root of 805936320 is about 930.6082735900.

The spelling of 805936320 in words is "eight hundred five million, nine hundred thirty-six thousand, three hundred twenty".