800440082280 has 192 divisors, whose sum is σ = 2615629507920. Its totient is φ = 212287795200.

The previous prime is 800440082179. The next prime is 800440082293. The reversal of 800440082280 is 82280044008.

It can be written as a sum of positive squares in 8 ways, for example, as 146990959236 + 653449123044 = 383394^2 + 808362^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78926010 + ... + 78936150.

Almost surely, 2^800440082280 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 800440082280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307814753960).

800440082280 is an abundant number, since it is smaller than the sum of its proper divisors (1815189425640).

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

800440082280 is a wasteful number, since it uses less digits than its factorization.

800440082280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11332 (or 11325 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 800440082280 in words is "eight hundred billion, four hundred forty million, eighty-two thousand, two hundred eighty".