78671923200 has 864 divisors, whose sum is σ = 317171574720. Its totient is φ = 18490982400.

The previous prime is 78671923157. The next prime is 78671923243. The reversal of 78671923200 is 232917687.

It is an interprime number because it is at equal distance from previous prime (78671923157) and next prime (78671923243).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137778915 + ... + 137779485.

It is an arithmetic number, because the mean of its divisors is an integer number (367096730).

Almost surely, 2^78671923200 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 78671923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158585787360).

78671923200 is an abundant number, since it is smaller than the sum of its proper divisors (238499651520).

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

78671923200 is a wasteful number, since it uses less digits than its factorization.

78671923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 78671923200 in words is "seventy-eight billion, six hundred seventy-one million, nine hundred twenty-three thousand, two hundred".