77296 has 10 divisors (see below), whose sum is σ = 149792. Its totient is φ = 38640.

The previous prime is 77291. The next prime is 77317. The reversal of 77296 is 69277.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2400 + ... + 2431.

2⁷⁷²⁹⁶ is an apocalyptic number.

It is an amenable number.

77296 is a deficient number, since it is larger than the sum of its proper divisors (72496).

77296 is a wasteful number, since it uses less digits than its factorization.

77296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4833 counting only the distinct ones).

The product of its digits is 5292, while the sum is 31.

The square root of 77296 is about 278.0215818961. The cubic root of 77296 is about 42.5976531876.

It can be divided in two parts, 772 and 96, that added together give a palindrome (868).

The spelling of 77296 in words is "seventy-seven thousand, two hundred ninety-six".