78061584384 has 360 divisors, whose sum is σ = 267359846208. Its totient is φ = 22295347200.

The previous prime is 78061584371. The next prime is 78061584401. The reversal of 78061584384 is 48348516087.

It is a super-2 number, since 2×78061584384² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 78061584384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27867784 + ... + 27870584.

Almost surely, 2^78061584384 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 78061584384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133679923104).

78061584384 is an abundant number, since it is smaller than the sum of its proper divisors (189298261824).

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

78061584384 is an frugal number, since it uses more digits than its factorization.

78061584384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 78061584384 in words is "seventy-eight billion, sixty-one million, five hundred eighty-four thousand, three hundred eighty-four".