78090554080 has 288 divisors, whose sum is σ = 232820904960. Its totient is φ = 24228019200.

The previous prime is 78090554077. The next prime is 78090554099. The reversal of 78090554080 is 8045509087.

It is a self number, because there is not a number n which added to its sum of digits gives 78090554080.

It is a congruent number.

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, 32388075 + ... + 32390485.

It is an arithmetic number, because the mean of its divisors is an integer number (808405920).

Almost surely, 2^78090554080 is an apocalyptic number.

78090554080 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 78090554080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116410452480).

78090554080 is an abundant number, since it is smaller than the sum of its proper divisors (154730350880).

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

78090554080 is a wasteful number, since it uses less digits than its factorization.

78090554080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The spelling of 78090554080 in words is "seventy-eight billion, ninety million, five hundred fifty-four thousand, eighty".