1215764800 has 168 divisors, whose sum is σ = 3143048832. Its totient is φ = 462336000.

The previous prime is 1215764773. The next prime is 1215764801. The reversal of 1215764800 is 84675121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1215764801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2820585 + ... + 2821015.

It is an arithmetic number, because the mean of its divisors is an integer number (18708624).

Almost surely, 2^1215764800 is an apocalyptic number.

1215764800 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 1215764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571524416).

1215764800 is an abundant number, since it is smaller than the sum of its proper divisors (1927284032).

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

1215764800 is a wasteful number, since it uses less digits than its factorization.

1215764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 1215764800 is about 34867.8189739479. The cubic root of 1215764800 is about 1067.2918383773.

The spelling of 1215764800 in words is "one billion, two hundred fifteen million, seven hundred sixty-four thousand, eight hundred".