78632 has 8 divisors (see below), whose sum is σ = 147450. Its totient is φ = 39312.

The previous prime is 78623. The next prime is 78643. The reversal of 78632 is 23687.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 27556 = 226^2 + 166^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 7⁵ + 8³ + 6³ + 3¹⁰ + 2¹¹ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 78632.

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, 4907 + ... + 4922.

2⁷⁸⁶³² is an apocalyptic number.

It is an amenable number.

78632 is a deficient number, since it is larger than the sum of its proper divisors (68818).

78632 is a wasteful number, since it uses less digits than its factorization.

78632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9835 (or 9831 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 78632 is about 280.4139796800. The cubic root of 78632 is about 42.8416748412.

Subtracting from 78632 its sum of digits (26), we obtain a triangular number (78606 = T₃₉₆).

Subtracting from 78632 its reverse (23687), we obtain a palindrome (54945).

It can be divided in two parts, 786 and 32, that multiplied together give a palindrome (25152).

The spelling of 78632 in words is "seventy-eight thousand, six hundred thirty-two".