78066432 has 108 divisors (see below), whose sum is σ = 232558144. Its totient is φ = 25159680.

The previous prime is 78066379. The next prime is 78066449. The reversal of 78066432 is 23466087.

78066432 is a `hidden beast` number, since 7 + 8 + 0 + 6 + 643 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70878 + ... + 71970.

Almost surely, 2^78066432 is an apocalyptic number.

78066432 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 78066432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116279072).

78066432 is an abundant number, since it is smaller than the sum of its proper divisors (154491712).

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

78066432 is a wasteful number, since it uses less digits than its factorization.

78066432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 78066432 is about 8835.5210372677. The cubic root of 78066432 is about 427.3871334338.

The spelling of 78066432 in words is "seventy-eight million, sixty-six thousand, four hundred thirty-two".