801724 has 48 divisors (see below), whose sum is σ = 1854720. Its totient is φ = 293760.

The previous prime is 801709. The next prime is 801733. The reversal of 801724 is 427108.

It is a super-2 number, since 2×801724² = 1285522744352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 801695 and 801704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5784 + ... + 5920.

It is an arithmetic number, because the mean of its divisors is an integer number (38640).

2⁸⁰¹⁷²⁴ 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 801724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927360).

801724 is an abundant number, since it is smaller than the sum of its proper divisors (1052996).

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

801724 is a wasteful number, since it uses less digits than its factorization.

801724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 801724 is about 895.3904176391. The cubic root of 801724 is about 92.8984129876.

The spelling of 801724 in words is "eight hundred one thousand, seven hundred twenty-four".