76928 has 16 divisors (see below), whose sum is σ = 153510. Its totient is φ = 38400.

The previous prime is 76919. The next prime is 76943. The reversal of 76928 is 82967.

Added to its reverse (82967) it gives a triangular number (159895 = T₅₆₅).

It can be written as a sum of positive squares in only one way, i.e., 53824 + 23104 = 232^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 76894 and 76903.

It is an unprimeable number.

76928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 173 + ... + 428.

2⁷⁶⁹²⁸ is an apocalyptic number.

It is an amenable number.

76928 is a deficient number, since it is larger than the sum of its proper divisors (76582).

76928 is an equidigital number, since it uses as much as digits as its factorization.

76928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 603 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 76928 is about 277.3589731738. The cubic root of 76928 is about 42.5299442951.

Adding to 76928 its reverse (82967), we get a triangular number (159895 = T₅₆₅).

It can be divided in two parts, 769 and 28, that added together give a palindrome (797).

The spelling of 76928 in words is "seventy-six thousand, nine hundred twenty-eight".