800238960 has 640 divisors, whose sum is σ = 3256934400. Its totient is φ = 179159040.

The previous prime is 800238937. The next prime is 800239001. The reversal of 800238960 is 69832008.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 21628062 + ... + 21628098.

It is an arithmetic number, because the mean of its divisors is an integer number (5088960).

Almost surely, 2^800238960 is an apocalyptic number.

800238960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800238960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628467200).

800238960 is an abundant number, since it is smaller than the sum of its proper divisors (2456695440).

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

800238960 is a wasteful number, since it uses less digits than its factorization.

800238960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 800238960 is about 28288.4951879735. The cubic root of 800238960 is about 928.4101870268.

The spelling of 800238960 in words is "eight hundred million, two hundred thirty-eight thousand, nine hundred sixty".