76816 has 10 divisors (see below), whose sum is σ = 148862. Its totient is φ = 38400.

The previous prime is 76801. The next prime is 76819. The reversal of 76816 is 61867.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 9216 = 260^2 + 96^2 .

It is not an unprimeable number, because it can be changed into a prime (76819) by changing a digit.

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, 2385 + ... + 2416.

2⁷⁶⁸¹⁶ is an apocalyptic number.

It is an amenable number.

76816 is a deficient number, since it is larger than the sum of its proper divisors (72046).

76816 is a wasteful number, since it uses less digits than its factorization.

76816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809 (or 4803 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 76816 is about 277.1569952211. The cubic root of 76816 is about 42.5092943917.

It can be divided in two parts, 768 and 16, that added together give a square (784 = 28²).

The spelling of 76816 in words is "seventy-six thousand, eight hundred sixteen".