77743631520 has 864 divisors, whose sum is σ = 301953899520. Its totient is φ = 18863953920.

The previous prime is 77743631509. The next prime is 77743631527. The reversal of 77743631520 is 2513634777.

77743631520 is a `hidden beast` number, since 7 + 7 + 7 + 4 + 3 + 631 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (77743631527) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 407034625 + ... + 407034815.

It is an arithmetic number, because the mean of its divisors is an integer number (349483680).

Almost surely, 2^77743631520 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 77743631520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150976949760).

77743631520 is an abundant number, since it is smaller than the sum of its proper divisors (224210268000).

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

77743631520 is a wasteful number, since it uses less digits than its factorization.

77743631520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 77743631520 in words is "seventy-seven billion, seven hundred forty-three million, six hundred thirty-one thousand, five hundred twenty".