78484032 has 112 divisors (see below), whose sum is σ = 251764800. Its totient is φ = 23777280.

The previous prime is 78484009. The next prime is 78484061. The reversal of 78484032 is 23048487.

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 15 ways as a sum of consecutive naturals, for example, 16944 + ... + 21072.

It is an arithmetic number, because the mean of its divisors is an integer number (2247900).

Almost surely, 2^78484032 is an apocalyptic number.

78484032 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 78484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125882400).

78484032 is an abundant number, since it is smaller than the sum of its proper divisors (173280768).

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

78484032 is a wasteful number, since it uses less digits than its factorization.

78484032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 78484032 is about 8859.1214011323. The cubic root of 78484032 is about 428.1478512107.

The spelling of 78484032 in words is "seventy-eight million, four hundred eighty-four thousand, thirty-two".