78644832 has 96 divisors (see below), whose sum is σ = 242387712. Its totient is φ = 21855744.

The previous prime is 78644821. The next prime is 78644833. The reversal of 78644832 is 23844687.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78644833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23283 + ... + 26445.

It is an arithmetic number, because the mean of its divisors is an integer number (2524872).

Almost surely, 2^78644832 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 78644832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121193856).

78644832 is an abundant number, since it is smaller than the sum of its proper divisors (163742880).

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

78644832 is a wasteful number, since it uses less digits than its factorization.

78644832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3212 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 78644832 is about 8868.1921494744. The cubic root of 78644832 is about 428.4400516675.

The spelling of 78644832 in words is "seventy-eight million, six hundred forty-four thousand, eight hundred thirty-two".