78329906208 has 288 divisors, whose sum is σ = 240841036800. Its totient is φ = 24077813760.

The previous prime is 78329906143. The next prime is 78329906219. The reversal of 78329906208 is 80260992387.

It is a happy number.

78329906208 is a `hidden beast` number, since 7 + 8 + 3 + 2 + 9 + 9 + 0 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×78329906208² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71664510 + ... + 71665602.

It is an arithmetic number, because the mean of its divisors is an integer number (836253600).

Almost surely, 2^78329906208 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 78329906208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120420518400).

78329906208 is an abundant number, since it is smaller than the sum of its proper divisors (162511130592).

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

78329906208 is a wasteful number, since it uses less digits than its factorization.

78329906208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 78329906208 in words is "seventy-eight billion, three hundred twenty-nine million, nine hundred six thousand, two hundred eight".