78346966500 has 864 divisors, whose sum is σ = 293660954496. Its totient is φ = 18079200000.

The previous prime is 78346966421. The next prime is 78346966517. The reversal of 78346966500 is 566964387.

78346966500 is a `hidden beast` number, since 7 + 8 + 3 + 46 + 96 + 6 + 500 = 666.

It is a super-2 number, since 2×78346966500² (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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1284376470 + ... + 1284376530.

It is an arithmetic number, because the mean of its divisors is an integer number (339885364).

Almost surely, 2^78346966500 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 78346966500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146830477248).

78346966500 is an abundant number, since it is smaller than the sum of its proper divisors (215313987996).

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

78346966500 is a wasteful number, since it uses less digits than its factorization.

78346966500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 78346966500 in words is "seventy-eight billion, three hundred forty-six million, nine hundred sixty-six thousand, five hundred".