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BaseRepresentation
bin10010110000100000
310220101122
4102300200
54424312
61351412
7440000
oct226040
9126348
1076832
11527a8
1238568
1328c82
1420000
1517b72
hex12c20

76832 has 30 divisors (see below), whose sum is σ = 176463. Its totient is φ = 32928.

The previous prime is 76831. The next prime is 76837. The reversal of 76832 is 23867.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

76832 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 38416 + 38416 = 196^2 + 196^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=196.

Its product of digits (2016) is a multiple of the sum of its prime divisors (9).

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (76831) 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 4 ways as a sum of consecutive naturals, for example, 10973 + ... + 10979.

76832 is a Friedman number, since it can be written as (8+6)^(3+2)/7, using all its digits and the basic arithmetic operations.

276832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76832

76832 is an abundant number, since it is smaller than the sum of its proper divisors (99631).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76832 is an frugal number, since it uses more digits than its factorization.

76832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 9 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 76832 is about 277.1858582251. The cubic root of 76832 is about 42.5122456063.

The spelling of 76832 in words is "seventy-six thousand, eight hundred thirty-two".