826880 has 80 divisors (see below), whose sum is σ = 2209680. Its totient is φ = 294912.

The previous prime is 826879. The next prime is 826883. The reversal of 826880 is 88628.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43511 + ... + 43529.

It is an arithmetic number, because the mean of its divisors is an integer number (27621).

2⁸²⁶⁸⁸⁰ is an apocalyptic number.

826880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104840).

826880 is an abundant number, since it is smaller than the sum of its proper divisors (1382800).

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

826880 is a wasteful number, since it uses less digits than its factorization.

826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 826880 is about 909.3294232565. The cubic root of 826880 is about 93.8600603707.

The spelling of 826880 in words is "eight hundred twenty-six thousand, eight hundred eighty".