78150302468 has 72 divisors (see below), whose sum is σ = 161729207640. Its totient is φ = 32942246400.

The previous prime is 78150302467. The next prime is 78150302509. The reversal of 78150302468 is 86420305187.

It can be written as a sum of positive squares in 4 ways, for example, as 5957061124 + 72193241344 = 77182^2 + 268688^2 .

It is a super-2 number, since 2×78150302468² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78150302467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2913518 + ... + 2940218.

It is an arithmetic number, because the mean of its divisors is an integer number (2246238995).

Almost surely, 2^78150302468 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 78150302468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80864603820).

78150302468 is an abundant number, since it is smaller than the sum of its proper divisors (83578905172).

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

78150302468 is a wasteful number, since it uses less digits than its factorization.

78150302468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26965 (or 26956 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 78150302468 in words is "seventy-eight billion, one hundred fifty million, three hundred two thousand, four hundred sixty-eight".