801116416 has 81 divisors (see below), whose sum is σ = 1683741423. Its totient is φ = 380405760.

The previous prime is 801116413. The next prime is 801116443. The reversal of 801116416 is 614611108.

The square root of 801116416 is 28304.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 240374016 + 560742400 = 15504^2 + 23680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (801116411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13133026 + ... + 13133086.

Almost surely, 2^801116416 is an apocalyptic number.

801116416 is the 28304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801116416

801116416 is an abundant number, since it is smaller than the sum of its proper divisors (882625007).

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

801116416 is an frugal number, since it uses more digits than its factorization.

801116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The cubic root of 801116416 is about 928.7493946729.

The spelling of 801116416 in words is "eight hundred one million, one hundred sixteen thousand, four hundred sixteen".