78075648000 has 1152 divisors, whose sum is σ = 331654901760. Its totient is φ = 17296588800.

The previous prime is 78075647999. The next prime is 78075648023. The reversal of 78075648000 is 84657087.

78075648000 is a `hidden beast` number, since 7 + 8 + 0 + 7 + 564 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 758015949 + ... + 758016051.

It is an arithmetic number, because the mean of its divisors is an integer number (287894880).

Almost surely, 2^78075648000 is an apocalyptic number.

78075648000 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 78075648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165827450880).

78075648000 is an abundant number, since it is smaller than the sum of its proper divisors (253579253760).

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

78075648000 is a wasteful number, since it uses less digits than its factorization.

78075648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 78075648000 in words is "seventy-eight billion, seventy-five million, six hundred forty-eight thousand".