800029440000 has 960 divisors, whose sum is σ = 3385481299200. Its totient is φ = 182808576000.

The previous prime is 800029439977. The next prime is 800029440019. The reversal of 800029440000 is 44920008.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 241918347 + ... + 241921653.

It is an arithmetic number, because the mean of its divisors is an integer number (3526543020).

Almost surely, 2^800029440000 is an apocalyptic number.

800029440000 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 800029440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692740649600).

800029440000 is an abundant number, since it is smaller than the sum of its proper divisors (2585451859200).

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

800029440000 is an equidigital number, since it uses as much as digits as its factorization.

800029440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 800029440000 in words is "eight hundred billion, twenty-nine million, four hundred forty thousand".