727384078080 has 576 divisors, whose sum is σ = 2826226045440. Its totient is φ = 175686451200.

The previous prime is 727384078067. The next prime is 727384078093. The reversal of 727384078080 is 80870483727.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (727384078067) and next prime (727384078093).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107581900 + ... + 107588660.

It is an arithmetic number, because the mean of its divisors is an integer number (4906642440).

Almost surely, 2^727384078080 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 727384078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413113022720).

727384078080 is an abundant number, since it is smaller than the sum of its proper divisors (2098841967360).

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

727384078080 is a wasteful number, since it uses less digits than its factorization.

727384078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7085 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 727384078080 in words is "seven hundred twenty-seven billion, three hundred eighty-four million, seventy-eight thousand, eighty".