78549213600 has 1728 divisors, whose sum is σ = 353785356288. Its totient is φ = 16118784000.

The previous prime is 78549213553. The next prime is 78549213619. The reversal of 78549213600 is 631294587.

78549213600 is a `hidden beast` number, since 78 + 549 + 2 + 1 + 36 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 734104747 + ... + 734104853.

It is an arithmetic number, because the mean of its divisors is an integer number (204736896).

It is a 1-persistent number, because it is pandigital, but 2⋅78549213600 = 157098427200 is not.

Almost surely, 2^78549213600 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 78549213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176892678144).

78549213600 is an abundant number, since it is smaller than the sum of its proper divisors (275236142688).

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

78549213600 is a wasteful number, since it uses less digits than its factorization.

78549213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 78549213600 in words is "seventy-eight billion, five hundred forty-nine million, two hundred thirteen thousand, six hundred".