78927480 has 128 divisors (see below), whose sum is σ = 265939200. Its totient is φ = 20820096.

The previous prime is 78927479. The next prime is 78927487. The reversal of 78927480 is 8472987.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78927487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115219 + ... + 115901.

It is an arithmetic number, because the mean of its divisors is an integer number (2077650).

Almost surely, 2^78927480 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 78927480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132969600).

78927480 is an abundant number, since it is smaller than the sum of its proper divisors (187011720).

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

78927480 is a wasteful number, since it uses less digits than its factorization.

78927480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 78927480 is about 8884.1139119217. The cubic root of 78927480 is about 428.9527064105.

The spelling of 78927480 in words is "seventy-eight million, nine hundred twenty-seven thousand, four hundred eighty".