78027818400 has 1080 divisors, whose sum is σ = 337908684960. Its totient is φ = 17163187200.

The previous prime is 78027818353. The next prime is 78027818411. The reversal of 78027818400 is 481872087.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 435909511 + ... + 435909689.

It is an arithmetic number, because the mean of its divisors is an integer number (312878412).

Almost surely, 2^78027818400 is an apocalyptic number.

78027818400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78027818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168954342480).

78027818400 is an abundant number, since it is smaller than the sum of its proper divisors (259880866560).

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

78027818400 is a wasteful number, since it uses less digits than its factorization.

78027818400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 78027818400 in words is "seventy-eight billion, twenty-seven million, eight hundred eighteen thousand, four hundred".