801357984 has 144 divisors (see below), whose sum is σ = 2741618880. Its totient is φ = 216898560.

The previous prime is 801357941. The next prime is 801358007. The reversal of 801357984 is 489753108.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 27844 + ... + 48764.

It is an arithmetic number, because the mean of its divisors is an integer number (19039020).

Almost surely, 2^801357984 is an apocalyptic number.

801357984 is a gapful number since it is divisible by the number (84) 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 801357984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370809440).

801357984 is an abundant number, since it is smaller than the sum of its proper divisors (1940260896).

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

801357984 is a wasteful number, since it uses less digits than its factorization.

801357984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20963 (or 20952 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 801357984 is about 28308.2670610548. The cubic root of 801357984 is about 928.8427367400.

The spelling of 801357984 in words is "eight hundred one million, three hundred fifty-seven thousand, nine hundred eighty-four".