801858432 has 64 divisors (see below), whose sum is σ = 2139552000. Its totient is φ = 266079744.

The previous prime is 801858419. The next prime is 801858457. The reversal of 801858432 is 234858108.

801858432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82569 + ... + 91767.

It is an arithmetic number, because the mean of its divisors is an integer number (33430500).

Almost surely, 2^801858432 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 801858432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069776000).

801858432 is an abundant number, since it is smaller than the sum of its proper divisors (1337693568).

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

801858432 is a wasteful number, since it uses less digits than its factorization.

801858432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 801858432 is about 28317.1049367692. The cubic root of 801858432 is about 929.0360505769.

The spelling of 801858432 in words is "eight hundred one million, eight hundred fifty-eight thousand, four hundred thirty-two".