1980800 has 48 divisors (see below), whose sum is σ = 4901100. Its totient is φ = 791040.

The previous prime is 1980791. The next prime is 1980809. The reversal of 1980800 is 80891.

It is an interprime number because it is at equal distance from previous prime (1980791) and next prime (1980809).

It is an Ulam number.

It is a zygodrome in base 2 and base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 1980800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980809) 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, 2891 + ... + 3509.

2^1980800 is an apocalyptic number.

1980800 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 1980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450550).

1980800 is an abundant number, since it is smaller than the sum of its proper divisors (2920300).

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

1980800 is an equidigital number, since it uses as much as digits as its factorization.

1980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 1980800 is about 1407.4089668607. The cubic root of 1980800 is about 125.5876331692.

The spelling of 1980800 in words is "one million, nine hundred eighty thousand, eight hundred".