801312 has 48 divisors (see below), whose sum is σ = 2231712. Its totient is φ = 250880.

The previous prime is 801301. The next prime is 801331. The reversal of 801312 is 213108.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 801291 and 801300.

It is an unprimeable number.

801312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1387 + ... + 1877.

It is an arithmetic number, because the mean of its divisors is an integer number (46494).

2⁸⁰¹³¹² 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 801312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115856).

801312 is an abundant number, since it is smaller than the sum of its proper divisors (1430400).

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

801312 is a wasteful number, since it uses less digits than its factorization.

801312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 801312 is about 895.1603208364. The cubic root of 801312 is about 92.8824969932.

The spelling of 801312 in words is "eight hundred one thousand, three hundred twelve".