801643392 has 336 divisors, whose sum is σ = 2668974840. Its totient is φ = 239500800.

The previous prime is 801643303. The next prime is 801643481. The reversal of 801643392 is 293346108.

801643392 is a `hidden beast` number, since 8 + 0 + 1 + 643 + 3 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (801643303) and next prime (801643481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 41 ways as a sum of consecutive naturals, for example, 11290717 + ... + 11290787.

Almost surely, 2^801643392 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 801643392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334487420).

801643392 is an abundant number, since it is smaller than the sum of its proper divisors (1867331448).

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

801643392 is an equidigital number, since it uses as much as digits as its factorization.

801643392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 801643392 is about 28313.3076838437. The cubic root of 801643392 is about 928.9529944472.

The spelling of 801643392 in words is "eight hundred one million, six hundred forty-three thousand, three hundred ninety-two".