801720 has 96 divisors (see below), whose sum is σ = 2779920. Its totient is φ = 199680.

The previous prime is 801709. The next prime is 801733. The reversal of 801720 is 27108.

Added to its reverse (27108) it gives a triangular number (828828 = T₁₂₈₇).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 801693 and 801702.

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 23 ways as a sum of consecutive naturals, for example, 6055 + ... + 6185.

2⁸⁰¹⁷²⁰ 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 801720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389960).

801720 is an abundant number, since it is smaller than the sum of its proper divisors (1978200).

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

801720 is a wasteful number, since it uses less digits than its factorization.

801720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 801720 is about 895.3881839739. The cubic root of 801720 is about 92.8982584896.

Adding to 801720 its reverse (27108), we get a palindrome (828828).

It can be divided in two parts, 801 and 720, that added together give a square (1521 = 39²).

The spelling of 801720 in words is "eight hundred one thousand, seven hundred twenty".