78364348800 has 192 divisors, whose sum is σ = 269335618560. Its totient is φ = 19988531200.

The previous prime is 78364348729. The next prime is 78364348819. The reversal of 78364348800 is 884346387.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×78364348800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43345 + ... + 398255.

It is an arithmetic number, because the mean of its divisors is an integer number (1402789680).

Almost surely, 2^78364348800 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 78364348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134667809280).

78364348800 is an abundant number, since it is smaller than the sum of its proper divisors (190971269760).

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

78364348800 is a wasteful number, since it uses less digits than its factorization.

78364348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354961 (or 354944 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 78364348800 in words is "seventy-eight billion, three hundred sixty-four million, three hundred forty-eight thousand, eight hundred".