801320460 has 96 divisors (see below), whose sum is σ = 2422103040. Its totient is φ = 197336832.

The previous prime is 801320453. The next prime is 801320473. The reversal of 801320460 is 64023108.

It is a happy number.

801320460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×801320460² = 1284228959229223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 801320460.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30009 + ... + 50031.

It is an arithmetic number, because the mean of its divisors is an integer number (25230240).

Almost surely, 2^801320460 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 801320460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211051520).

801320460 is an abundant number, since it is smaller than the sum of its proper divisors (1620782580).

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

801320460 is a wasteful number, since it uses less digits than its factorization.

801320460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20087 (or 20085 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 801320460 is about 28307.6042787093. The cubic root of 801320460 is about 928.8282386673.

Adding to 801320460 its reverse (64023108), we get a palindrome (865343568).

The spelling of 801320460 in words is "eight hundred one million, three hundred twenty thousand, four hundred sixty".