78632982 has 48 divisors (see below), whose sum is σ = 183543360. Its totient is φ = 24249456.

The previous prime is 78632977. The next prime is 78632987. The reversal of 78632982 is 28923687.

78632982 is a `hidden beast` number, since 7 + 8 + 632 + 9 + 8 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (78632977) and next prime (78632987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78632987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12033 + ... + 17379.

It is an arithmetic number, because the mean of its divisors is an integer number (3823820).

Almost surely, 2^78632982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78632982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91771680).

78632982 is an abundant number, since it is smaller than the sum of its proper divisors (104910378).

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

78632982 is a wasteful number, since it uses less digits than its factorization.

78632982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5417 (or 5414 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 78632982 is about 8867.5240061699. The cubic root of 78632982 is about 428.4185318401.

The spelling of 78632982 in words is "seventy-eight million, six hundred thirty-two thousand, nine hundred eighty-two".