72780684800 has 240 divisors, whose sum is σ = 189379887840. Its totient is φ = 27666186240.

The previous prime is 72780684797. The next prime is 72780684827. The reversal of 72780684800 is 848608727.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50930486 + ... + 50931914.

It is an arithmetic number, because the mean of its divisors is an integer number (789082866).

Almost surely, 2^72780684800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72780684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94689943920).

72780684800 is an abundant number, since it is smaller than the sum of its proper divisors (116599203040).

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

72780684800 is a wasteful number, since it uses less digits than its factorization.

72780684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 50.

The spelling of 72780684800 in words is "seventy-two billion, seven hundred eighty million, six hundred eighty-four thousand, eight hundred".