78611895600 has 960 divisors, whose sum is σ = 311161036800. Its totient is φ = 16934400000.

The previous prime is 78611895577. The next prime is 78611895611. The reversal of 78611895600 is 659811687.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 778335550 + ... + 778335650.

It is an arithmetic number, because the mean of its divisors is an integer number (324126080).

Almost surely, 2^78611895600 is an apocalyptic number.

78611895600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78611895600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155580518400).

78611895600 is an abundant number, since it is smaller than the sum of its proper divisors (232549141200).

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

78611895600 is a wasteful number, since it uses less digits than its factorization.

78611895600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 78611895600 in words is "seventy-eight billion, six hundred eleven million, eight hundred ninety-five thousand, six hundred".