78447657404800 has 192 divisors, whose sum is σ = 194551688408400. Its totient is φ = 31255815168000.

The previous prime is 78447657404791. The next prime is 78447657404813. The reversal of 78447657404800 is 840475674487.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7283223415 + ... + 7283234185.

Almost surely, 2^{78447657404800} 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 78447657404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97275844204200).

78447657404800 is an abundant number, since it is smaller than the sum of its proper divisors (116104031003600).

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

78447657404800 is a wasteful number, since it uses less digits than its factorization.

78447657404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19525 (or 19508 counting only the distinct ones).

The product of its (nonzero) digits is 168591360, while the sum is 64.

The spelling of 78447657404800 in words is "seventy-eight trillion, four hundred forty-seven billion, six hundred fifty-seven million, four hundred four thousand, eight hundred".