1956800720 has 80 divisors (see below), whose sum is σ = 5206809600. Its totient is φ = 669960192.

The previous prime is 1956800719. The next prime is 1956800731. The reversal of 1956800720 is 270086591.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481256 + ... + 485304.

It is an arithmetic number, because the mean of its divisors is an integer number (65085120).

Almost surely, 2^1956800720 is an apocalyptic number.

1956800720 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 1956800720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603404800).

1956800720 is an abundant number, since it is smaller than the sum of its proper divisors (3250008880).

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

1956800720 is a wasteful number, since it uses less digits than its factorization.

1956800720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 1956800720 is about 44235.7403012541. The cubic root of 1956800720 is about 1250.7836621962.

The spelling of 1956800720 in words is "one billion, nine hundred fifty-six million, eight hundred thousand, seven hundred twenty".