816880 has 20 divisors (see below), whose sum is σ = 1899432. Its totient is φ = 326720.

The previous prime is 816869. The next prime is 816883. The reversal of 816880 is 88618.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816883) by changing a digit.

816880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5026 + ... + 5185.

2⁸¹⁶⁸⁸⁰ is an apocalyptic number.

816880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

816880 is an abundant number, since it is smaller than the sum of its proper divisors (1082552).

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

816880 is a wasteful number, since it uses less digits than its factorization.

816880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10224 (or 10218 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 816880 is about 903.8141401859. The cubic root of 816880 is about 93.4801544047.

The spelling of 816880 in words is "eight hundred sixteen thousand, eight hundred eighty".