800785024 has 64 divisors (see below), whose sum is σ = 1725381000. Its totient is φ = 368013312.

The previous prime is 800784989. The next prime is 800785057. The reversal of 800785024 is 420587008.

It can be written as a sum of positive squares in 4 ways, for example, as 562638400 + 238146624 = 23720^2 + 15432^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446722 + ... + 448510.

Almost surely, 2^800785024 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 800785024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862690500).

800785024 is an abundant number, since it is smaller than the sum of its proper divisors (924595976).

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

800785024 is a wasteful number, since it uses less digits than its factorization.

800785024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 800785024 is about 28298.1452395736. The cubic root of 800785024 is about 928.6213140086.

The spelling of 800785024 in words is "eight hundred million, seven hundred eighty-five thousand, twenty-four".