807120 has 120 divisors (see below), whose sum is σ = 2901600. Its totient is φ = 200448.

The previous prime is 807119. The next prime is 807127. The reversal of 807120 is 21708.

Added to its reverse (21708) it gives a triangular number (828828 = T₁₂₈₇).

807120 = 41² + 42² + ... + 135².

It is a tau number, because it is divible by the number of its divisors (120).

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 = 807093 and 807102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807127) 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 23 ways as a sum of consecutive naturals, for example, 13651 + ... + 13709.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2⁸⁰⁷¹²⁰ is an apocalyptic number.

807120 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 807120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450800).

807120 is an abundant number, since it is smaller than the sum of its proper divisors (2094480).

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

807120 is a wasteful number, since it uses less digits than its factorization.

807120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

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

The square root of 807120 is about 898.3985752438. The cubic root of 807120 is about 93.1063646028.

Adding to 807120 its reverse (21708), we get a palindrome (828828).

The spelling of 807120 in words is "eight hundred seven thousand, one hundred twenty".