78715748160 has 1008 divisors, whose sum is σ = 332262455616. Its totient is φ = 17682997248.

The previous prime is 78715748149. The next prime is 78715748179. The reversal of 78715748160 is 6184751787.

78715748160 is a `hidden beast` number, since 7 + 8 + 7 + 1 + 574 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78715748097 and 78715748106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 278147379 + ... + 278147661.

It is an arithmetic number, because the mean of its divisors is an integer number (329625452).

Almost surely, 2^78715748160 is an apocalyptic number.

78715748160 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 78715748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166131227808).

78715748160 is an abundant number, since it is smaller than the sum of its proper divisors (253546707456).

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

78715748160 is a wasteful number, since it uses less digits than its factorization.

78715748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 78715748160 in words is "seventy-eight billion, seven hundred fifteen million, seven hundred forty-eight thousand, one hundred sixty".