340800 has 84 divisors (see below), whose sum is σ = 1133856. Its totient is φ = 89600.

The previous prime is 340793. The next prime is 340801. The reversal of 340800 is 8043.

It is a super-2 number, since 2×340800² = 232289280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 340800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340801) 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, 4765 + ... + 4835.

2³⁴⁰⁸⁰⁰ is an apocalyptic number.

340800 is a gapful number since it is divisible by the number (30) 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 340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566928).

340800 is an abundant number, since it is smaller than the sum of its proper divisors (793056).

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

340800 is a wasteful number, since it uses less digits than its factorization.

340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 340800 is about 583.7807807731. The cubic root of 340800 is about 69.8500190185.

Adding to 340800 its reverse (8043), we get a palindrome (348843).

The spelling of 340800 in words is "three hundred forty thousand, eight hundred".