78456467320 has 256 divisors, whose sum is σ = 223330867200. Its totient is φ = 24095784960.

The previous prime is 78456467279. The next prime is 78456467329. The reversal of 78456467320 is 2376465487.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78456467329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93511461 + ... + 93512299.

It is an arithmetic number, because the mean of its divisors is an integer number (872386200).

Almost surely, 2^78456467320 is an apocalyptic number.

78456467320 is a gapful number since it is divisible by the number (70) 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 78456467320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111665433600).

78456467320 is an abundant number, since it is smaller than the sum of its proper divisors (144874399880).

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

78456467320 is a wasteful number, since it uses less digits than its factorization.

78456467320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 78456467320 in words is "seventy-eight billion, four hundred fifty-six million, four hundred sixty-seven thousand, three hundred twenty".