76838144 has 18 divisors (see below), whose sum is σ = 153376650. Its totient is φ = 38418944.

The previous prime is 76838129. The next prime is 76838173. The reversal of 76838144 is 44183867.

It can be written as a sum of positive squares in only one way, i.e., 73273600 + 3564544 = 8560^2 + 1888^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 149819 + ... + 150330.

It is an arithmetic number, because the mean of its divisors is an integer number (8520925).

Almost surely, 2^76838144 is an apocalyptic number.

It is an amenable number.

76838144 is a deficient number, since it is larger than the sum of its proper divisors (76538506).

76838144 is an equidigital number, since it uses as much as digits as its factorization.

76838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300165 (or 300151 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 76838144 is about 8765.7369342229. The cubic root of 76838144 is about 425.1337876378.

The spelling of 76838144 in words is "seventy-six million, eight hundred thirty-eight thousand, one hundred forty-four".