78030795117600 has 864 divisors, whose sum is σ = 307985712652800. Its totient is φ = 19164523069440.

The previous prime is 78030795117547. The next prime is 78030795117607. The reversal of 78030795117600 is 671159703087.

78030795117600 is a `hidden beast` number, since 7 + 80 + 307 + 95 + 1 + 176 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (78030795117607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1134678417 + ... + 1134747183.

It is an arithmetic number, because the mean of its divisors is an integer number (356464945200).

Almost surely, 2^{78030795117600} 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 78030795117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153992856326400).

78030795117600 is an abundant number, since it is smaller than the sum of its proper divisors (229954917535200).

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

78030795117600 is a wasteful number, since it uses less digits than its factorization.

78030795117600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69264 (or 69239 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 78030795117600 in words is "seventy-eight trillion, thirty billion, seven hundred ninety-five million, one hundred seventeen thousand, six hundred".