1520800 has 36 divisors (see below), whose sum is σ = 3714606. Its totient is φ = 608000.

The previous prime is 1520777. The next prime is 1520801. The reversal of 1520800 is 80251.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 767376 + 753424 = 876^2 + 868^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1520801) 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, 151 + ... + 1750.

2^1520800 is an apocalyptic number.

1520800 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 1520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857303).

1520800 is an abundant number, since it is smaller than the sum of its proper divisors (2193806).

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

1520800 is a wasteful number, since it uses less digits than its factorization.

1520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1520800 is about 1233.2072007574. The cubic root of 1520800 is about 114.9981096098.

The spelling of 1520800 in words is "one million, five hundred twenty thousand, eight hundred".