78928077127680 has 1080 divisors, whose sum is σ = 311891934810456. Its totient is φ = 19134079303680.

The previous prime is 78928077127673. The next prime is 78928077127703. The reversal of 78928077127680 is 8672177082987.

78928077127680 is a `hidden beast` number, since 7 + 8 + 9 + 280 + 7 + 71 + 276 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 78928077127599 and 78928077127608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7175279738875 + ... + 7175279738885.

Almost surely, 2^{78928077127680} 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 78928077127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155945967405228).

78928077127680 is an abundant number, since it is smaller than the sum of its proper divisors (232963857682776).

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

78928077127680 is an frugal number, since it uses more digits than its factorization.

78928077127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 265531392, while the sum is 72.

The spelling of 78928077127680 in words is "seventy-eight trillion, nine hundred twenty-eight billion, seventy-seven million, one hundred twenty-seven thousand, six hundred eighty".