801148320 has 240 divisors, whose sum is σ = 3231664128. Its totient is φ = 183098880.

The previous prime is 801148301. The next prime is 801148333. The reversal of 801148320 is 23841108.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86305 + ... + 95135.

Almost surely, 2^801148320 is an apocalyptic number.

801148320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615832064).

801148320 is an abundant number, since it is smaller than the sum of its proper divisors (2430515808).

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

801148320 is a wasteful number, since it uses less digits than its factorization.

801148320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865 (or 8848 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 801148320 is about 28304.5635896405. The cubic root of 801148320 is about 928.7617234792.

Adding to 801148320 its reverse (23841108), we get a palindrome (824989428).

The spelling of 801148320 in words is "eight hundred one million, one hundred forty-eight thousand, three hundred twenty".