838764 has 36 divisors (see below), whose sum is σ = 2214576. Its totient is φ = 267168.

The previous prime is 838757. The next prime is 838769. The reversal of 838764 is 467838.

838764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838764.

It is not an unprimeable number, because it can be changed into a prime (838769) by changing a digit.

838764 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322 + ... + 1334.

It is an arithmetic number, because the mean of its divisors is an integer number (61516).

2⁸³⁸⁷⁶⁴ 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 838764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107288).

838764 is an abundant number, since it is smaller than the sum of its proper divisors (1375812).

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

838764 is a wasteful number, since it uses less digits than its factorization.

838764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1041 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 838764 is about 915.8405974841. The cubic root of 838764 is about 94.3075785579.

The spelling of 838764 in words is "eight hundred thirty-eight thousand, seven hundred sixty-four".