77906058384000 has 1024 divisors, whose sum is σ = 322197011435520. Its totient is φ = 16177600512000.

The previous prime is 77906058383999. The next prime is 77906058384031. The reversal of 77906058384000 is 48385060977.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6405161919 + ... + 6405174081.

It is an arithmetic number, because the mean of its divisors is an integer number (314645518980).

Almost surely, 2^{77906058384000} is an apocalyptic number.

77906058384000 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 77906058384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161098505717760).

77906058384000 is an abundant number, since it is smaller than the sum of its proper divisors (244290953051520).

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

77906058384000 is a wasteful number, since it uses less digits than its factorization.

77906058384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13946 (or 13924 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 77906058384000 in words is "seventy-seven trillion, nine hundred six billion, fifty-eight million, three hundred eighty-four thousand".