78973728 has 96 divisors (see below), whose sum is σ = 225892800. Its totient is φ = 24062976.

The previous prime is 78973723. The next prime is 78973729. The reversal of 78973728 is 82737987.

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (78973723) 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, 52150 + ... + 53642.

It is an arithmetic number, because the mean of its divisors is an integer number (2353050).

Almost surely, 2^78973728 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 78973728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112946400).

78973728 is an abundant number, since it is smaller than the sum of its proper divisors (146919072).

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

78973728 is a wasteful number, since it uses less digits than its factorization.

78973728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1546 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 51.

The square root of 78973728 is about 8886.7163789557. The cubic root of 78973728 is about 429.0364724671.

The spelling of 78973728 in words is "seventy-eight million, nine hundred seventy-three thousand, seven hundred twenty-eight".