78105600000 has 672 divisors, whose sum is σ = 291803510880. Its totient is φ = 20643840000.

The previous prime is 78105599993. The next prime is 78105600047. The reversal of 78105600000 is 650187.

It is a super-2 number, since 2×78105600000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691199944 + ... + 691200056.

It is an arithmetic number, because the mean of its divisors is an integer number (434231415).

Almost surely, 2^78105600000 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 78105600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145901755440).

78105600000 is an abundant number, since it is smaller than the sum of its proper divisors (213697910880).

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

78105600000 is an frugal number, since it uses more digits than its factorization.

78105600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 78105600000 in words is "seventy-eight billion, one hundred five million, six hundred thousand".