77811736320 has 720 divisors, whose sum is σ = 297934404768. Its totient is φ = 19322634240.

The previous prime is 77811736271. The next prime is 77811736399. The reversal of 77811736320 is 2363711877.

77811736320 is a `hidden beast` number, since 7 + 7 + 8 + 1 + 1 + 7 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 230895192 + ... + 230895528.

Almost surely, 2^77811736320 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 77811736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148967202384).

77811736320 is an abundant number, since it is smaller than the sum of its proper divisors (220122668448).

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

77811736320 is a wasteful number, since it uses less digits than its factorization.

77811736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 77811736320 in words is "seventy-seven billion, eight hundred eleven million, seven hundred thirty-six thousand, three hundred twenty".