78070770432000 has 960 divisors, whose sum is σ = 291690026147520. Its totient is φ = 20771168256000.

The previous prime is 78070770431993. The next prime is 78070770432023. The reversal of 78070770432000 is 23407707087.

78070770432000 is a `hidden beast` number, since 7 + 80 + 70 + 7 + 70 + 432 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9559291917 + ... + 9559300083.

It is an arithmetic number, because the mean of its divisors is an integer number (303843777237).

Almost surely, 2^{78070770432000} 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 78070770432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145845013073760).

78070770432000 is an abundant number, since it is smaller than the sum of its proper divisors (213619255715520).

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

78070770432000 is an equidigital number, since it uses as much as digits as its factorization.

78070770432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8677 (or 8638 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 78070770432000 in words is "seventy-eight trillion, seventy billion, seven hundred seventy million, four hundred thirty-two thousand".