1980316800 has 1152 divisors, whose sum is σ = 9470822400. Its totient is φ = 381542400.

The previous prime is 1980316777. The next prime is 1980316801. The reversal of 1980316800 is 86130891.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1980316801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42134377 + ... + 42134423.

It is an arithmetic number, because the mean of its divisors is an integer number (8221200).

Almost surely, 2^1980316800 is an apocalyptic number.

1980316800 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 1980316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735411200).

1980316800 is an abundant number, since it is smaller than the sum of its proper divisors (7490505600).

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

1980316800 is a wasteful number, since it uses less digits than its factorization.

1980316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1980316800 is about 44500.7505554682. The cubic root of 1980316800 is about 1255.7742031250.

The spelling of 1980316800 in words is "one billion, nine hundred eighty million, three hundred sixteen thousand, eight hundred".