78347308032 has 528 divisors, whose sum is σ = 278968435200. Its totient is φ = 20676280320.

The previous prime is 78347307949. The next prime is 78347308033. The reversal of 78347308032 is 23080374387.

78347308032 is a `hidden beast` number, since 78 + 3 + 473 + 0 + 80 + 32 = 666.

It is a super-2 number, since 2×78347308032² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78347308033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50254069 + ... + 50255627.

Almost surely, 2^78347308032 is an apocalyptic number.

78347308032 is a gapful number since it is divisible by the number (72) 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 78347308032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139484217600).

78347308032 is an abundant number, since it is smaller than the sum of its proper divisors (200621127168).

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

78347308032 is a wasteful number, since it uses less digits than its factorization.

78347308032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 78347308032 in words is "seventy-eight billion, three hundred forty-seven million, three hundred eight thousand, thirty-two".