1320800 has 72 divisors (see below), whose sum is σ = 3499776. Its totient is φ = 483840.

The previous prime is 1320799. The next prime is 1320811. The reversal of 1320800 is 80231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10337 + ... + 10463.

It is an arithmetic number, because the mean of its divisors is an integer number (48608).

2^1320800 is an apocalyptic number.

1320800 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 1320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749888).

1320800 is an abundant number, since it is smaller than the sum of its proper divisors (2178976).

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

1320800 is a wasteful number, since it uses less digits than its factorization.

1320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1320800 is about 1149.2606318847. The cubic root of 1320800 is about 109.7182874078.

It can be divided in two parts, 13 and 20800, that multiplied together give a square (270400 = 520²).

The spelling of 1320800 in words is "one million, three hundred twenty thousand, eight hundred".