78218586128400 has 240 divisors, whose sum is σ = 253378345545600. Its totient is φ = 20624475156480.

The previous prime is 78218586128377. The next prime is 78218586128413. The reversal of 78218586128400 is 482168581287.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×78218586128400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63085636 + ... + 64313564.

It is an arithmetic number, because the mean of its divisors is an integer number (1055743106440).

Almost surely, 2^{78218586128400} 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 78218586128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126689172772800).

78218586128400 is an abundant number, since it is smaller than the sum of its proper divisors (175159759417200).

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

78218586128400 is a wasteful number, since it uses less digits than its factorization.

78218586128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228546 (or 1228535 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 60.

The spelling of 78218586128400 in words is "seventy-eight trillion, two hundred eighteen billion, five hundred eighty-six million, one hundred twenty-eight thousand, four hundred".