77632 has 14 divisors (see below), whose sum is σ = 154178. Its totient is φ = 38784.

The previous prime is 77621. The next prime is 77641. The reversal of 77632 is 23677.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 30976 = 216^2 + 176^2 .

It is a nialpdrome in base 7 and base 10.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 77597 and 77606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 543 + ... + 670.

2⁷⁷⁶³² is an apocalyptic number.

It is an amenable number.

77632 is a deficient number, since it is larger than the sum of its proper divisors (76546).

77632 is a wasteful number, since it uses less digits than its factorization.

77632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1215 counting only the distinct ones).

The product of its digits is 1764, while the sum is 25.

The square root of 77632 is about 278.6251962763. The cubic root of 77632 is about 42.6592869181.

It can be divided in two parts, 776 and 32, that added together give a palindrome (808).

The spelling of 77632 in words is "seventy-seven thousand, six hundred thirty-two".