1304800 has 72 divisors (see below), whose sum is σ = 3656016. Its totient is φ = 445440.

The previous prime is 1304783. The next prime is 1304803. The reversal of 1304800 is 84031.

1304800 = T₂₀₃ + T₂₀₄ + ... + T₂₅₂.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5484 + ... + 5716.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

2^1304800 is an apocalyptic number.

1304800 is a gapful number since it is divisible by the number (10) 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 1304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008).

1304800 is an abundant number, since it is smaller than the sum of its proper divisors (2351216).

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

1304800 is a wasteful number, since it uses less digits than its factorization.

1304800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1304800 is about 1142.2784249035. The cubic root of 1304800 is about 109.2734485989.

Adding to 1304800 its reverse (84031), we get a palindrome (1388831).

The spelling of 1304800 in words is "one million, three hundred four thousand, eight hundred".