800706816 has 576 divisors, whose sum is σ = 3113420800. Its totient is φ = 197074944.

The previous prime is 800706811. The next prime is 800706821. The reversal of 800706816 is 618607008.

It is an interprime number because it is at equal distance from previous prime (800706811) and next prime (800706821).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×800706816² = 1282262810377715712, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800706811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11950815 + ... + 11950881.

Almost surely, 2^800706816 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 800706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556710400).

800706816 is an abundant number, since it is smaller than the sum of its proper divisors (2312713984).

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

800706816 is a wasteful number, since it uses less digits than its factorization.

800706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 800706816 is about 28296.7633484821. The cubic root of 800706816 is about 928.5910820163.

The spelling of 800706816 in words is "eight hundred million, seven hundred six thousand, eight hundred sixteen".