800726916 has 96 divisors (see below), whose sum is σ = 2125412352. Its totient is φ = 232467840.

The previous prime is 800726909. The next prime is 800726923. The reversal of 800726916 is 619627008.

It is an interprime number because it is at equal distance from previous prime (800726909) and next prime (800726923).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326005 + ... + 328451.

It is an arithmetic number, because the mean of its divisors is an integer number (22139712).

Almost surely, 2^800726916 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 800726916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062706176).

800726916 is an abundant number, since it is smaller than the sum of its proper divisors (1324685436).

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

800726916 is a wasteful number, since it uses less digits than its factorization.

800726916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 800726916 is about 28297.1185105480. The cubic root of 800726916 is about 928.5988520365.

The spelling of 800726916 in words is "eight hundred million, seven hundred twenty-six thousand, nine hundred sixteen".