800313696 has 504 divisors, whose sum is σ = 3024287280. Its totient is φ = 203793408.

The previous prime is 800313691. The next prime is 800313707. The reversal of 800313696 is 696313008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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 800313696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800313691) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 27597010 + ... + 27597038.

It is an arithmetic number, because the mean of its divisors is an integer number (6000570).

Almost surely, 2^800313696 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 800313696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512143640).

800313696 is an abundant number, since it is smaller than the sum of its proper divisors (2223973584).

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

800313696 is a wasteful number, since it uses less digits than its factorization.

800313696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 800313696 is about 28289.8161181723. The cubic root of 800313696 is about 928.4390881873.

The spelling of 800313696 in words is "eight hundred million, three hundred thirteen thousand, six hundred ninety-six".