807360 has 84 divisors (see below), whose sum is σ = 2654808. Its totient is φ = 207872.

The previous prime is 807337. The next prime is 807371. The reversal of 807360 is 63708.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 807360.

It is a congruent number.

It is an unprimeable number.

807360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 27826 + ... + 27854.

2⁸⁰⁷³⁶⁰ is an apocalyptic number.

807360 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 807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327404).

807360 is an abundant number, since it is smaller than the sum of its proper divisors (1847448).

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

807360 is a wasteful number, since it uses less digits than its factorization.

807360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 807360 is about 898.5321363201. The cubic root of 807360 is about 93.1155921911.

The spelling of 807360 in words is "eight hundred seven thousand, three hundred sixty".