860800 has 48 divisors (see below), whose sum is σ = 2134350. Its totient is φ = 343040.

The previous prime is 860791. The next prime is 860809. The reversal of 860800 is 8068.

It is an interprime number because it is at equal distance from previous prime (860791) and next prime (860809).

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 440896 = 648^2 + 664^2 .

It is not an unprimeable number, because it can be changed into a prime (860809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3066 + ... + 3334.

2⁸⁶⁰⁸⁰⁰ is an apocalyptic number.

860800 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 860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067175).

860800 is an abundant number, since it is smaller than the sum of its proper divisors (1273550).

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

860800 is a wasteful number, since it uses less digits than its factorization.

860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 860800 is about 927.7930803795. The cubic root of 860800 is about 95.1263323886.

Adding to 860800 its product of nonzero digits (384), we get a square (861184 = 928²).

Adding to 860800 its reverse (8068), we get a palindrome (868868).

The spelling of 860800 in words is "eight hundred sixty thousand, eight hundred".