78830327001600 has 600 divisors, whose sum is σ = 296111674441968. Its totient is φ = 20707649740800.

The previous prime is 78830327001593. The next prime is 78830327001611. The reversal of 78830327001600 is 610072303887.

78830327001600 is a `hidden beast` number, since 7 + 8 + 8 + 3 + 0 + 32 + 7 + 0 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68898195 + ... + 70033005.

Almost surely, 2^{78830327001600} 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 78830327001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055837220984).

78830327001600 is an abundant number, since it is smaller than the sum of its proper divisors (217281347440368).

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

78830327001600 is a wasteful number, since it uses less digits than its factorization.

78830327001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134918 (or 1134888 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 78830327001600 in words is "seventy-eight trillion, eight hundred thirty billion, three hundred twenty-seven million, one thousand, six hundred".