78090051336 has 256 divisors, whose sum is σ = 225135590400. Its totient is φ = 22359628800.

The previous prime is 78090051331. The next prime is 78090051337. The reversal of 78090051336 is 63315009087.

It is a super-2 number, since 2×78090051336² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78090051331) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 49454595 + ... + 49456173.

It is an arithmetic number, because the mean of its divisors is an integer number (879435900).

Almost surely, 2^78090051336 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 78090051336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112567795200).

78090051336 is an abundant number, since it is smaller than the sum of its proper divisors (147045539064).

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

78090051336 is a wasteful number, since it uses less digits than its factorization.

78090051336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 78090051336 in words is "seventy-eight billion, ninety million, fifty-one thousand, three hundred thirty-six".