76825 has 12 divisors (see below), whose sum is σ = 109120. Its totient is φ = 52560.

The previous prime is 76819. The next prime is 76829. The reversal of 76825 is 52867.

It is not a de Polignac number, because 76825 - 2⁷ = 76697 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 76793 and 76802.

It is not an unprimeable number, because it can be changed into a prime (76829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45 + ... + 394.

2⁷⁶⁸²⁵ is an apocalyptic number.

It is an amenable number.

76825 is a deficient number, since it is larger than the sum of its proper divisors (32295).

76825 is a wasteful number, since it uses less digits than its factorization.

76825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 451 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 76825 is about 277.1732310307. The cubic root of 76825 is about 42.5109545003.

The spelling of 76825 in words is "seventy-six thousand, eight hundred twenty-five".