78447432 has 96 divisors (see below), whose sum is σ = 233845920. Its totient is φ = 21853440.

The previous prime is 78447431. The next prime is 78447443. The reversal of 78447432 is 23474487.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (78447431) 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, 47403 + ... + 49029.

It is an arithmetic number, because the mean of its divisors is an integer number (2435895).

Almost surely, 2^78447432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78447432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116922960).

78447432 is an abundant number, since it is smaller than the sum of its proper divisors (155398488).

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

78447432 is a wasteful number, since it uses less digits than its factorization.

78447432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1680 counting only the distinct ones).

The product of its digits is 150528, while the sum is 39.

The square root of 78447432 is about 8857.0554926567. The cubic root of 78447432 is about 428.0812871490.

The spelling of 78447432 in words is "seventy-eight million, four hundred forty-seven thousand, four hundred thirty-two".