801982272 has 224 divisors, whose sum is σ = 2636105472. Its totient is φ = 209534976.

The previous prime is 801982261. The next prime is 801982277. The reversal of 801982272 is 272289108.

801982272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 801982272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801982277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3441868 + ... + 3442100.

It is an arithmetic number, because the mean of its divisors is an integer number (11768328).

Almost surely, 2^801982272 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 801982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318052736).

801982272 is an abundant number, since it is smaller than the sum of its proper divisors (1834123200).

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

801982272 is a wasteful number, since it uses less digits than its factorization.

801982272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 801982272 is about 28319.2915165616. The cubic root of 801982272 is about 929.0838752708.

The spelling of 801982272 in words is "eight hundred one million, nine hundred eighty-two thousand, two hundred seventy-two".