800520768 has 168 divisors, whose sum is σ = 2434234400. Its totient is φ = 250822656.

The previous prime is 800520767. The next prime is 800520793. The reversal of 800520768 is 867025008.

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

It is not an unprimeable number, because it can be changed into a prime (800520761) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2112003 + ... + 2112381.

Almost surely, 2^800520768 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 800520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217117200).

800520768 is an abundant number, since it is smaller than the sum of its proper divisors (1633713632).

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

800520768 is a wasteful number, since it uses less digits than its factorization.

800520768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 800520768 is about 28293.4757143763. The cubic root of 800520768 is about 928.5191556080.

The spelling of 800520768 in words is "eight hundred million, five hundred twenty thousand, seven hundred sixty-eight".