78088932900 has 360 divisors, whose sum is σ = 283620972096. Its totient is φ = 18418233600.

The previous prime is 78088932893. The next prime is 78088932919. The reversal of 78088932900 is 923988087.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 3284857 + ... + 3308543.

Almost surely, 2^78088932900 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 78088932900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141810486048).

78088932900 is an abundant number, since it is smaller than the sum of its proper divisors (205532039196).

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

78088932900 is a wasteful number, since it uses less digits than its factorization.

78088932900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23761 (or 23745 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 78088932900 in words is "seventy-eight billion, eighty-eight million, nine hundred thirty-two thousand, nine hundred".