77786751505320 has 1536 divisors, whose sum is σ = 304810969881600. Its totient is φ = 17098514104320.

The previous prime is 77786751505319. The next prime is 77786751505327. The reversal of 77786751505320 is 2350515768777.

77786751505320 is a `hidden beast` number, since 7 + 7 + 7 + 8 + 67 + 515 + 0 + 53 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (77786751505327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 106996906797 + ... + 106996907523.

It is an arithmetic number, because the mean of its divisors is an integer number (198444641850).

Almost surely, 2^{77786751505320} 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 77786751505320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152405484940800).

77786751505320 is an abundant number, since it is smaller than the sum of its proper divisors (227024218376280).

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

77786751505320 is a wasteful number, since it uses less digits than its factorization.

77786751505320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 86436000, while the sum is 63.

The spelling of 77786751505320 in words is "seventy-seven trillion, seven hundred eighty-six billion, seven hundred fifty-one million, five hundred five thousand, three hundred twenty".