76802 has 8 divisors (see below), whose sum is σ = 125712. Its totient is φ = 34900.

The previous prime is 76801. The next prime is 76819. The reversal of 76802 is 20867.

76802 = 159² + 160² + 161².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (76801) 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 in 3 ways as a sum of consecutive naturals, for example, 1724 + ... + 1767.

It is an arithmetic number, because the mean of its divisors is an integer number (15714).

2⁷⁶⁸⁰² is an apocalyptic number.

76802 is a deficient number, since it is larger than the sum of its proper divisors (48910).

76802 is a wasteful number, since it uses less digits than its factorization.

76802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 76802 is about 277.1317376267. The cubic root of 76802 is about 42.5067117428.

It can be divided in two parts, 76 and 802, that added together give a palindrome (878).

The spelling of 76802 in words is "seventy-six thousand, eight hundred two".