77807341043712 has 1536 divisors, whose sum is σ = 284866489440000. Its totient is φ = 19951263940608.

The previous prime is 77807341043647. The next prime is 77807341043749. The reversal of 77807341043712 is 21734014370877.

77807341043712 is a `hidden beast` number, since 77 + 80 + 73 + 410 + 4 + 3 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90578976339 + ... + 90578977197.

Almost surely, 2^{77807341043712} is an apocalyptic number.

77807341043712 is a gapful number since it is divisible by the number (72) 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 77807341043712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142433244720000).

77807341043712 is an abundant number, since it is smaller than the sum of its proper divisors (207059148396288).

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

77807341043712 is a wasteful number, since it uses less digits than its factorization.

77807341043712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 77807341043712 in words is "seventy-seven trillion, eight hundred seven billion, three hundred forty-one million, forty-three thousand, seven hundred twelve".