78050390400 has 768 divisors, whose sum is σ = 295001952000. Its totient is φ = 20145438720.

The previous prime is 78050390287. The next prime is 78050390441. The reversal of 78050390400 is 409305087.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 561513531 + ... + 561513669.

It is an arithmetic number, because the mean of its divisors is an integer number (384117125).

Almost surely, 2^78050390400 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 78050390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147500976000).

78050390400 is an abundant number, since it is smaller than the sum of its proper divisors (216951561600).

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

78050390400 is a wasteful number, since it uses less digits than its factorization.

78050390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 78050390400 its reverse (409305087), we get a palindrome (78459695487).

The spelling of 78050390400 in words is "seventy-eight billion, fifty million, three hundred ninety thousand, four hundred".