78150930624 has 168 divisors, whose sum is σ = 250172067600. Its totient is φ = 24046377984.

The previous prime is 78150930601. The next prime is 78150930647. The reversal of 78150930624 is 42603905187.

78150930624 is a `hidden beast` number, since 7 + 8 + 15 + 0 + 9 + 3 + 0 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (78150930601) and next prime (78150930647).

It is a super-2 number, since 2×78150930624² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78150930624.

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, 8902 + ... + 395450.

It is an arithmetic number, because the mean of its divisors is an integer number (1489119450).

It is a 1-persistent number, because it is pandigital, but 2⋅78150930624 = 156301861248 is not.

Almost surely, 2^78150930624 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 78150930624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125086033800).

78150930624 is an abundant number, since it is smaller than the sum of its proper divisors (172021136976).

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

78150930624 is a wasteful number, since it uses less digits than its factorization.

78150930624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386589 (or 386567 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 78150930624 in words is "seventy-eight billion, one hundred fifty million, nine hundred thirty thousand, six hundred twenty-four".