78830831200 has 324 divisors, whose sum is σ = 218174371884. Its totient is φ = 27583488000.

The previous prime is 78830831171. The next prime is 78830831207. The reversal of 78830831200 is 213803887.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78830831207) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1079874364 + ... + 1079874436.

It is an arithmetic number, because the mean of its divisors is an integer number (673377691).

Almost surely, 2^78830831200 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 78830831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109087185942).

78830831200 is an abundant number, since it is smaller than the sum of its proper divisors (139343540684).

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

78830831200 is a wasteful number, since it uses less digits than its factorization.

78830831200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 78830831200 in words is "seventy-eight billion, eight hundred thirty million, eight hundred thirty-one thousand, two hundred".