77243166 has 128 divisors (see below), whose sum is σ = 230630400. Its totient is φ = 18506880.

The previous prime is 77243147. The next prime is 77243191. The reversal of 77243166 is 66134277.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 77243166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53340 + ... + 54768.

It is an arithmetic number, because the mean of its divisors is an integer number (1801800).

Almost surely, 2^77243166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77243166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115315200).

77243166 is an abundant number, since it is smaller than the sum of its proper divisors (153387234).

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

77243166 is a wasteful number, since it uses less digits than its factorization.

77243166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1465 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 77243166 is about 8788.8091343481. The cubic root of 77243166 is about 425.8794540889.

Subtracting from 77243166 its reverse (66134277), we obtain a square (11108889 = 3333²).

The spelling of 77243166 in words is "seventy-seven million, two hundred forty-three thousand, one hundred sixty-six".