78162304000 has 352 divisors, whose sum is σ = 217840626432. Its totient is φ = 27740160000.

The previous prime is 78162303977. The next prime is 78162304001. The reversal of 78162304000 is 40326187.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×78162304000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78162304001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60543355 + ... + 60544645.

It is an arithmetic number, because the mean of its divisors is an integer number (618865416).

Almost surely, 2^78162304000 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 78162304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108920313216).

78162304000 is an abundant number, since it is smaller than the sum of its proper divisors (139678322432).

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

78162304000 is a wasteful number, since it uses less digits than its factorization.

78162304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 78162304000 in words is "seventy-eight billion, one hundred sixty-two million, three hundred four thousand".