801752 has 32 divisors (see below), whose sum is σ = 1747200. Its totient is φ = 337824.

The previous prime is 801733. The next prime is 801761. The reversal of 801752 is 257108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5699 + ... + 5837.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

2⁸⁰¹⁷⁵² 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 801752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873600).

801752 is an abundant number, since it is smaller than the sum of its proper divisors (945448).

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

801752 is a wasteful number, since it uses less digits than its factorization.

801752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 801752 is about 895.4060531401. The cubic root of 801752 is about 92.8994944593.

Subtracting from 801752 its reverse (257108), we obtain a square (544644 = 738²).

The spelling of 801752 in words is "eight hundred one thousand, seven hundred fifty-two".