77805536256 has 528 divisors, whose sum is σ = 280399042560. Its totient is φ = 21051187200.

The previous prime is 77805536251. The next prime is 77805536273. The reversal of 77805536256 is 65263550877.

77805536256 is a `hidden beast` number, since 7 + 7 + 8 + 0 + 5 + 5 + 3 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77805536251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33093481 + ... + 33095831.

Almost surely, 2^77805536256 is an apocalyptic number.

77805536256 is a gapful number since it is divisible by the number (76) 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 77805536256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140199521280).

77805536256 is an abundant number, since it is smaller than the sum of its proper divisors (202593506304).

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

77805536256 is a wasteful number, since it uses less digits than its factorization.

77805536256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 77805536256 in words is "seventy-seven billion, eight hundred five million, five hundred thirty-six thousand, two hundred fifty-six".