77212848384 has 243 divisors, whose sum is σ = 259283922807. Its totient is φ = 22034138112.

The previous prime is 77212848379. The next prime is 77212848389. The reversal of 77212848384 is 48384821277.

The square root of 77212848384 is 277872.

It is a perfect power (a square), and thus also a powerful number.

77212848384 is a `hidden beast` number, since 7 + 7 + 212 + 8 + 48 + 384 = 666.

It is an interprime number because it is at equal distance from previous prime (77212848379) and next prime (77212848389).

It is a super-2 number, since 2×77212848384² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 77212848384.

It is not an unprimeable number, because it can be changed into a prime (77212848389) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93364579 + ... + 93365405.

Almost surely, 2^77212848384 is an apocalyptic number.

77212848384 is the 277872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77212848384

77212848384 is an abundant number, since it is smaller than the sum of its proper divisors (182071074423).

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

77212848384 is an frugal number, since it uses more digits than its factorization.

77212848384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 839 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The spelling of 77212848384 in words is "seventy-seven billion, two hundred twelve million, eight hundred forty-eight thousand, three hundred eighty-four".