78733188000 has 1536 divisors, whose sum is σ = 333428659200. Its totient is φ = 17915904000.

The previous prime is 78733187987. The next prime is 78733188031. The reversal of 78733188000 is 88133787.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1290707970 + ... + 1290708030.

It is an arithmetic number, because the mean of its divisors is an integer number (217075950).

Almost surely, 2^78733188000 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 78733188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166714329600).

78733188000 is an abundant number, since it is smaller than the sum of its proper divisors (254695471200).

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

78733188000 is a wasteful number, since it uses less digits than its factorization.

78733188000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 78733188000 in words is "seventy-eight billion, seven hundred thirty-three million, one hundred eighty-eight thousand".