78853127400 has 480 divisors, whose sum is σ = 289751246400. Its totient is φ = 19819468800.

The previous prime is 78853127393. The next prime is 78853127413. The reversal of 78853127400 is 472135887.

78853127400 is a `hidden beast` number, since 78 + 8 + 53 + 127 + 400 = 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 119 ways as a sum of consecutive naturals, for example, 74179269 + ... + 74180331.

It is an arithmetic number, because the mean of its divisors is an integer number (603648430).

Almost surely, 2^78853127400 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 78853127400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144875623200).

78853127400 is an abundant number, since it is smaller than the sum of its proper divisors (210898119000).

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

78853127400 is a wasteful number, since it uses less digits than its factorization.

78853127400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 78853127400 in words is "seventy-eight billion, eight hundred fifty-three million, one hundred twenty-seven thousand, four hundred".