77132286 has 192 divisors, whose sum is σ = 229132800. Its totient is φ = 18144000.

The previous prime is 77132273. The next prime is 77132287. The reversal of 77132286 is 68223177.

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 77132286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77132287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 763636 + ... + 763736.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 2^77132286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77132286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

77132286 is an abundant number, since it is smaller than the sum of its proper divisors (152000514).

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

77132286 is a wasteful number, since it uses less digits than its factorization.

77132286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 172 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 77132286 is about 8782.4988471391. The cubic root of 77132286 is about 425.6755779002.

It can be divided in two parts, 7713 and 2286, that added together give a palindrome (9999).

The spelling of 77132286 in words is "seventy-seven million, one hundred thirty-two thousand, two hundred eighty-six".