78682032 has 120 divisors (see below), whose sum is σ = 258764688. Its totient is φ = 22003200.

The previous prime is 78681991. The next prime is 78682033. The reversal of 78682032 is 23028687.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78682033) 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, 18682 + ... + 22502.

Almost surely, 2^78682032 is an apocalyptic number.

78682032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78682032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129382344).

78682032 is an abundant number, since it is smaller than the sum of its proper divisors (180082656).

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

78682032 is a wasteful number, since it uses less digits than its factorization.

78682032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 78682032 is about 8870.2892850233. The cubic root of 78682032 is about 428.5075935400.

The spelling of 78682032 in words is "seventy-eight million, six hundred eighty-two thousand, thirty-two".