876672 has 48 divisors (see below), whose sum is σ = 2526030. Its totient is φ = 291840.

The previous prime is 876661. The next prime is 876677. The reversal of 876672 is 276678.

It can be written as a sum of positive squares in only one way, i.e., 876096 + 576 = 936^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (876677) by changing a digit.

876672 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 5 ways as a sum of consecutive naturals, for example, 772 + ... + 1532.

2⁸⁷⁶⁶⁷² 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 876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263015).

876672 is an abundant number, since it is smaller than the sum of its proper divisors (1649358).

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

876672 is a wasteful number, since it uses less digits than its factorization.

876672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 766 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 876672 is about 936.3076417503. The cubic root of 876672 is about 95.7074426787.

The spelling of 876672 in words is "eight hundred seventy-six thousand, six hundred seventy-two".