807520 has 72 divisors (see below), whose sum is σ = 2240784. Its totient is φ = 274176.

The previous prime is 807511. The next prime is 807523. The reversal of 807520 is 25708.

It is a junction number, because it is equal to n+sod(n) for n = 807491 and 807500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7789 + ... + 7891.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2⁸⁰⁷⁵²⁰ is an apocalyptic number.

807520 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 807520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120392).

807520 is an abundant number, since it is smaller than the sum of its proper divisors (1433264).

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

807520 is a wasteful number, since it uses less digits than its factorization.

807520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 807520 is about 898.6211660093. The cubic root of 807520 is about 93.1217429007.

The spelling of 807520 in words is "eight hundred seven thousand, five hundred twenty".