77827632 has 80 divisors (see below), whose sum is σ = 214843392. Its totient is φ = 24192000.

The previous prime is 77827609. The next prime is 77827637. The reversal of 77827632 is 23672877.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (77827637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103257 + ... + 104007.

Almost surely, 2^77827632 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 77827632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107421696).

77827632 is an abundant number, since it is smaller than the sum of its proper divisors (137015760).

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

77827632 is a wasteful number, since it uses less digits than its factorization.

77827632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 900 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 77827632 is about 8821.9970528220. The cubic root of 77827632 is about 426.9509054375.

The spelling of 77827632 in words is "seventy-seven million, eight hundred twenty-seven thousand, six hundred thirty-two".