1980207600 has 480 divisors, whose sum is σ = 7860211200. Its totient is φ = 424488960.

The previous prime is 1980207539. The next prime is 1980207611. The reversal of 1980207600 is 67020891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6997059 + ... + 6997341.

It is an arithmetic number, because the mean of its divisors is an integer number (16375440).

Almost surely, 2^1980207600 is an apocalyptic number.

1980207600 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 1980207600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930105600).

1980207600 is an abundant number, since it is smaller than the sum of its proper divisors (5880003600).

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

1980207600 is a wasteful number, since it uses less digits than its factorization.

1980207600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1980207600 is about 44499.5235929555. The cubic root of 1980207600 is about 1255.7511204439.

The spelling of 1980207600 in words is "one billion, nine hundred eighty million, two hundred seven thousand, six hundred".