77830218336 has 96 divisors (see below), whose sum is σ = 221007467520. Its totient is φ = 23840285184.

The previous prime is 77830218317. The next prime is 77830218373. The reversal of 77830218336 is 63381203877.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138475 + ... + 418133.

It is an arithmetic number, because the mean of its divisors is an integer number (2302161120).

Almost surely, 2^77830218336 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 77830218336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110503733760).

77830218336 is an abundant number, since it is smaller than the sum of its proper divisors (143177249184).

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

77830218336 is a wasteful number, since it uses less digits than its factorization.

77830218336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279908 (or 279900 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 77830218336 in words is "seventy-seven billion, eight hundred thirty million, two hundred eighteen thousand, three hundred thirty-six".