77827533843828 has 96 divisors (see below), whose sum is σ = 188323797949056. Its totient is φ = 24995691528192.

The previous prime is 77827533843823. The next prime is 77827533843841. The reversal of 77827533843828 is 82834833572877.

It is a super-3 number, since 3×77827533843828³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77827533843828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77827533843823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55652500 + ... + 57033812.

It is an arithmetic number, because the mean of its divisors is an integer number (1961706228636).

Almost surely, 2^{77827533843828} is an apocalyptic number.

It is an amenable number.

77827533843828 is an abundant number, since it is smaller than the sum of its proper divisors (110496264105228).

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

77827533843828 is a wasteful number, since it uses less digits than its factorization.

77827533843828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382593 (or 1382591 counting only the distinct ones).

The product of its digits is 3034644480, while the sum is 75.

The spelling of 77827533843828 in words is "seventy-seven trillion, eight hundred twenty-seven billion, five hundred thirty-three million, eight hundred forty-three thousand, eight hundred twenty-eight".