77127228482304 has 864 divisors, whose sum is σ = 277893882427392. Its totient is φ = 18478898380800.

The previous prime is 77127228482263. The next prime is 77127228482341. The reversal of 77127228482304 is 40328482272177.

It is a super-2 number, since 2×77127228482304² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 17445650014 + ... + 17445654434.

Almost surely, 2^{77127228482304} 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 77127228482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138946941213696).

77127228482304 is an abundant number, since it is smaller than the sum of its proper divisors (200766653945088).

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

77127228482304 is a wasteful number, since it uses less digits than its factorization.

77127228482304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6545 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 16859136, while the sum is 57.

The spelling of 77127228482304 in words is "seventy-seven trillion, one hundred twenty-seven billion, two hundred twenty-eight million, four hundred eighty-two thousand, three hundred four".