805724136 has 96 divisors (see below), whose sum is σ = 2561370240. Its totient is φ = 223979904.

The previous prime is 805724107. The next prime is 805724137. The reversal of 805724136 is 631427508.

805724136 is a `hidden beast` number, since 80 + 572 + 4 + 1 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 805724136.

It is not an unprimeable number, because it can be changed into a prime (805724137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2956 + ... + 40251.

It is an arithmetic number, because the mean of its divisors is an integer number (26680940).

Almost surely, 2^805724136 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 805724136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280685120).

805724136 is an abundant number, since it is smaller than the sum of its proper divisors (1755646104).

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

805724136 is a wasteful number, since it uses less digits than its factorization.

805724136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43263 (or 43256 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 805724136 is about 28385.2802698864. The cubic root of 805724136 is about 930.5265973614.

The spelling of 805724136 in words is "eight hundred five million, seven hundred twenty-four thousand, one hundred thirty-six".