801221344 has 216 divisors, whose sum is σ = 2086169904. Its totient is φ = 301593600.

The previous prime is 801221329. The next prime is 801221359. The reversal of 801221344 is 443122108.

801221344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (801221329) and next prime (801221359).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7778797 + ... + 7778899.

It is an arithmetic number, because the mean of its divisors is an integer number (9658194).

Almost surely, 2^801221344 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 801221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043084952).

801221344 is an abundant number, since it is smaller than the sum of its proper divisors (1284948560).

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

801221344 is a wasteful number, since it uses less digits than its factorization.

801221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 801221344 is about 28305.8535289081. The cubic root of 801221344 is about 928.7899412402.

The spelling of 801221344 in words is "eight hundred one million, two hundred twenty-one thousand, three hundred forty-four".