832764 has 24 divisors (see below), whose sum is σ = 2010960. Its totient is φ = 267904.

The previous prime is 832763. The next prime is 832771. The reversal of 832764 is 467238.

It is a d-powerful number, because it can be written as 8 + 3⁶ + 7⁷ + 2¹³ + 6² + 4⁴ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 832764.

It is not an unprimeable number, because it can be changed into a prime (832763) 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, 849 + ... + 1544.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

2⁸³²⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

832764 is an abundant number, since it is smaller than the sum of its proper divisors (1178196).

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

832764 is a wasteful number, since it uses less digits than its factorization.

832764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2427 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 832764 is about 912.5590391860. The cubic root of 832764 is about 94.0821674786.

It can be divided in two parts, 832 and 764, that added together give a triangular number (1596 = T₅₆).

The spelling of 832764 in words is "eight hundred thirty-two thousand, seven hundred sixty-four".