800579136 has 224 divisors, whose sum is σ = 2580802560. Its totient is φ = 213940224.

The previous prime is 800579099. The next prime is 800579137. The reversal of 800579136 is 631975008.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 800579094 and 800579103.

It is not an unprimeable number, because it can be changed into a prime (800579137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2732206 + ... + 2732498.

It is an arithmetic number, because the mean of its divisors is an integer number (11521440).

Almost surely, 2^800579136 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 800579136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290401280).

800579136 is an abundant number, since it is smaller than the sum of its proper divisors (1780223424).

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

800579136 is a wasteful number, since it uses less digits than its factorization.

800579136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 800579136 is about 28294.5071701205. The cubic root of 800579136 is about 928.5417219553.

The spelling of 800579136 in words is "eight hundred million, five hundred seventy-nine thousand, one hundred thirty-six".