863280 has 120 divisors (see below), whose sum is σ = 3191760. Its totient is φ = 207360.

The previous prime is 863279. The next prime is 863287. The reversal of 863280 is 82368.

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

It is not an unprimeable number, because it can be changed into a prime (863287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7866 + ... + 7974.

It is an arithmetic number, because the mean of its divisors is an integer number (26598).

2⁸⁶³²⁸⁰ is an apocalyptic number.

863280 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 863280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595880).

863280 is an abundant number, since it is smaller than the sum of its proper divisors (2328480).

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

863280 is a wasteful number, since it uses less digits than its factorization.

863280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 863280 is about 929.1286240344. The cubic root of 863280 is about 95.2175990814.

The spelling of 863280 in words is "eight hundred sixty-three thousand, two hundred eighty".