1600800 has 144 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 394240.

The previous prime is 1600793. The next prime is 1600811. The reversal of 1600800 is 80061.

Added to its reverse (80061) it gives a triangular number (1680861 = T₁₈₃₃).

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 1600800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55186 + ... + 55214.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2^1600800 is an apocalyptic number.

1600800 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 1600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

1600800 is an abundant number, since it is smaller than the sum of its proper divisors (4023840).

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

1600800 is a wasteful number, since it uses less digits than its factorization.

1600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1600800 is about 1265.2272523148. The cubic root of 1600800 is about 116.9801997321.

Adding to 1600800 its reverse (80061), we get a palindrome (1680861).

The spelling of 1600800 in words is "one million, six hundred thousand, eight hundred".