78130207584 has 768 divisors, whose sum is σ = 279668229120. Its totient is φ = 21163161600.

The previous prime is 78130207577. The next prime is 78130207609. The reversal of 78130207584 is 48570203187.

It is a super-2 number, since 2×78130207584² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 370285239 + ... + 370285449.

It is an arithmetic number, because the mean of its divisors is an integer number (364151340).

Almost surely, 2^78130207584 is an apocalyptic number.

78130207584 is a gapful number since it is divisible by the number (74) 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 78130207584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139834114560).

78130207584 is an abundant number, since it is smaller than the sum of its proper divisors (201538021536).

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

78130207584 is a wasteful number, since it uses less digits than its factorization.

78130207584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 78130207584 in words is "seventy-eight billion, one hundred thirty million, two hundred seven thousand, five hundred eighty-four".