78331615200 has 864 divisors, whose sum is σ = 300963237120. Its totient is φ = 19119513600.

The previous prime is 78331615171. The next prime is 78331615211. The reversal of 78331615200 is 251613387.

78331615200 is a `hidden beast` number, since 7 + 8 + 3 + 31 + 615 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×78331615200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 563536731 + ... + 563536869.

It is an arithmetic number, because the mean of its divisors is an integer number (348337080).

Almost surely, 2^78331615200 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 78331615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150481618560).

78331615200 is an abundant number, since it is smaller than the sum of its proper divisors (222631621920).

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

78331615200 is a wasteful number, since it uses less digits than its factorization.

78331615200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 78331615200 in words is "seventy-eight billion, three hundred thirty-one million, six hundred fifteen thousand, two hundred".