801520 has 40 divisors (see below), whose sum is σ = 1915056. Its totient is φ = 311808.

The previous prime is 801517. The next prime is 801539. The reversal of 801520 is 25108.

It is a happy number.

801520 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 801494 and 801503.

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, 3324 + ... + 3556.

2⁸⁰¹⁵²⁰ is an apocalyptic number.

801520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957528).

801520 is an abundant number, since it is smaller than the sum of its proper divisors (1113536).

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

801520 is a wasteful number, since it uses less digits than its factorization.

801520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 801520 is about 895.2764936041. The cubic root of 801520 is about 92.8905329342.

Adding to 801520 its reverse (25108), we get a palindrome (826628).

It can be divided in two parts, 80 and 1520, that added together give a square (1600 = 40²).

The spelling of 801520 in words is "eight hundred one thousand, five hundred twenty".