78576144 has 40 divisors (see below), whose sum is σ = 204466080. Its totient is φ = 26001408.

The previous prime is 78576137. The next prime is 78576149. The reversal of 78576144 is 44167587.

It is a junction number, because it is equal to n+sod(n) for n = 78576096 and 78576105.

It is not an unprimeable number, because it can be changed into a prime (78576149) 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 7 ways as a sum of consecutive naturals, for example, 784 + ... + 12560.

It is an arithmetic number, because the mean of its divisors is an integer number (5111652).

Almost surely, 2^78576144 is an apocalyptic number.

It is an amenable number.

78576144 is an abundant number, since it is smaller than the sum of its proper divisors (125889936).

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

78576144 is a wasteful number, since it uses less digits than its factorization.

78576144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11927 (or 11921 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 78576144 is about 8864.3185863325. The cubic root of 78576144 is about 428.3152828756.

The spelling of 78576144 in words is "seventy-eight million, five hundred seventy-six thousand, one hundred forty-four".