78127948800 has 792 divisors, whose sum is σ = 315985400640. Its totient is φ = 18269798400.

The previous prime is 78127948799. The next prime is 78127948813. The reversal of 78127948800 is 884972187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×78127948800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73497069 + ... + 73498131.

Almost surely, 2^78127948800 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 78127948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157992700320).

78127948800 is an abundant number, since it is smaller than the sum of its proper divisors (237857451840).

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

78127948800 is a wasteful number, since it uses less digits than its factorization.

78127948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 78127948800 in words is "seventy-eight billion, one hundred twenty-seven million, nine hundred forty-eight thousand, eight hundred".