76456 has 16 divisors (see below), whose sum is σ = 151200. Its totient is φ = 36144.

The previous prime is 76441. The next prime is 76463. The reversal of 76456 is 65467.

It is an unprimeable number.

76456 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100 + ... + 403.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2⁷⁶⁴⁵⁶ is an apocalyptic number.

76456 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

76456 is a deficient number, since it is larger than the sum of its proper divisors (74744).

76456 is a wasteful number, since it uses less digits than its factorization.

76456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 524 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 76456 is about 276.5067811103. The cubic root of 76456 is about 42.4427834438.

It can be divided in two parts, 764 and 56, that added together give a triangular number (820 = T₄₀).

The spelling of 76456 in words is "seventy-six thousand, four hundred fifty-six".