813376 has 28 divisors (see below), whose sum is σ = 1645920. Its totient is φ = 398720.

The previous prime is 813367. The next prime is 813377. The reversal of 813376 is 673318.

Its product of digits (3024) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813377) by changing a digit.

813376 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4455 + ... + 4633.

2⁸¹³³⁷⁶ 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 813376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822960).

813376 is an abundant number, since it is smaller than the sum of its proper divisors (832544).

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

813376 is a wasteful number, since it uses less digits than its factorization.

813376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 813376 is about 901.8736053350. The cubic root of 813376 is about 93.3463020528.

The spelling of 813376 in words is "eight hundred thirteen thousand, three hundred seventy-six".