78795072000 has 320 divisors, whose sum is σ = 291088512000. Its totient is φ = 21011558400.

The previous prime is 78795071989. The next prime is 78795072001. The reversal of 78795072000 is 27059787.

78795072000 is a `hidden beast` number, since 78 + 79 + 507 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (78795072001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1705201 + ... + 1750799.

It is an arithmetic number, because the mean of its divisors is an integer number (909651600).

Almost surely, 2^78795072000 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 78795072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145544256000).

78795072000 is an abundant number, since it is smaller than the sum of its proper divisors (212293440000).

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

78795072000 is an equidigital number, since it uses as much as digits as its factorization.

78795072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45641 (or 45609 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 78795072000 in words is "seventy-eight billion, seven hundred ninety-five million, seventy-two thousand".