800005416 has 128 divisors (see below), whose sum is σ = 2363904000. Its totient is φ = 220845312.

The previous prime is 800005403. The next prime is 800005433. The reversal of 800005416 is 614500008.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 1112305 + ... + 1113023.

It is an arithmetic number, because the mean of its divisors is an integer number (18468000).

Almost surely, 2^800005416 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 800005416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181952000).

800005416 is an abundant number, since it is smaller than the sum of its proper divisors (1563898584).

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

800005416 is a wasteful number, since it uses less digits than its factorization.

800005416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 800005416 is about 28284.3669895580. The cubic root of 800005416 is about 928.3198616216.

The spelling of 800005416 in words is "eight hundred million, five thousand, four hundred sixteen".