78112387584 has 800 divisors, whose sum is σ = 296176079232. Its totient is φ = 19906560000.

The previous prime is 78112387537. The next prime is 78112387663. The reversal of 78112387584 is 48578321187.

78112387584 is a `hidden beast` number, since 78 + 112 + 387 + 5 + 84 = 666.

It is a super-2 number, since 2×78112387584² (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 78112387584.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 194793784 + ... + 194794184.

Almost surely, 2^78112387584 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 78112387584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148088039616).

78112387584 is an abundant number, since it is smaller than the sum of its proper divisors (218063691648).

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

78112387584 is a wasteful number, since it uses less digits than its factorization.

78112387584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 485 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The spelling of 78112387584 in words is "seventy-eight billion, one hundred twelve million, three hundred eighty-seven thousand, five hundred eighty-four".