874764 has 54 divisors (see below), whose sum is σ = 2464644. Its totient is φ = 259440.

The previous prime is 874763. The next prime is 874771. The reversal of 874764 is 467478.

874764 = T₁₇₇ + T₁₇₈ + ... + T₂₂₀.

It is a happy number.

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 874764.

It is not an unprimeable number, because it can be changed into a prime (874763) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18589 + ... + 18635.

2⁸⁷⁴⁷⁶⁴ 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 874764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232322).

874764 is an abundant number, since it is smaller than the sum of its proper divisors (1589880).

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

874764 is a wasteful number, since it uses less digits than its factorization.

874764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 63 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 874764 is about 935.2881908802. The cubic root of 874764 is about 95.6379592843.

It can be divided in two parts, 87 and 4764, that added together give a triangular number (4851 = T₉₈).

The spelling of 874764 in words is "eight hundred seventy-four thousand, seven hundred sixty-four".