769832 has 32 divisors (see below), whose sum is σ = 1684800. Its totient is φ = 322944.

The previous prime is 769807. The next prime is 769837. The reversal of 769832 is 238967.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 769792 and 769801.

It is not an unprimeable number, because it can be changed into a prime (769837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3188 + ... + 3420.

It is an arithmetic number, because the mean of its divisors is an integer number (52650).

2⁷⁶⁹⁸³² 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 769832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842400).

769832 is an abundant number, since it is smaller than the sum of its proper divisors (914968).

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

769832 is a wasteful number, since it uses less digits than its factorization.

769832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 769832 is about 877.4007066330. The cubic root of 769832 is about 91.6498981265.

The spelling of 769832 in words is "seven hundred sixty-nine thousand, eight hundred thirty-two".