78332013000 has 192 divisors, whose sum is σ = 265133297520. Its totient is φ = 20859264000.

The previous prime is 78332012987. The next prime is 78332013047. The reversal of 78332013000 is 31023387.

It can be written as a sum of positive squares in 8 ways, for example, as 6474777156 + 71857235844 = 80466^2 + 268062^2 .

It is a super-2 number, since 2×78332013000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6843282 + ... + 6854718.

Almost surely, 2^78332013000 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 78332013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132566648760).

78332013000 is an abundant number, since it is smaller than the sum of its proper divisors (186801284520).

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

78332013000 is a wasteful number, since it uses less digits than its factorization.

78332013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12225 (or 12208 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 78332013000 its reverse (31023387), we get a palindrome (78363036387).

The spelling of 78332013000 in words is "seventy-eight billion, three hundred thirty-two million, thirteen thousand".