78448144 has 20 divisors (see below), whose sum is σ = 152250300. Its totient is φ = 39157760.

The previous prime is 78448127. The next prime is 78448157. The reversal of 78448144 is 44184487.

It can be written as a sum of positive squares in 2 ways, for example, as 35046400 + 43401744 = 5920^2 + 6588^2 .

It is a super-2 number, since 2×78448144² = 12308222594089472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78448097 and 78448106.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6432 + ... + 14080.

It is an arithmetic number, because the mean of its divisors is an integer number (7612515).

Almost surely, 2^78448144 is an apocalyptic number.

It is an amenable number.

78448144 is a deficient number, since it is larger than the sum of its proper divisors (73802156).

78448144 is a wasteful number, since it uses less digits than its factorization.

78448144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8298 (or 8292 counting only the distinct ones).

The product of its digits is 114688, while the sum is 40.

The square root of 78448144 is about 8857.0956865103. The cubic root of 78448144 is about 428.0825822539.

The spelling of 78448144 in words is "seventy-eight million, four hundred forty-eight thousand, one hundred forty-four".