813276 has 72 divisors (see below), whose sum is σ = 2293200. Its totient is φ = 241920.

The previous prime is 813269. The next prime is 813277. The reversal of 813276 is 672318.

813276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×813276² = 1322835704352, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 813276.

It is not an unprimeable number, because it can be changed into a prime (813277) by changing a digit.

813276 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 23 ways as a sum of consecutive naturals, for example, 19816 + ... + 19856.

It is an arithmetic number, because the mean of its divisors is an integer number (31850).

2⁸¹³²⁷⁶ 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 813276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146600).

813276 is an abundant number, since it is smaller than the sum of its proper divisors (1479924).

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

813276 is a wasteful number, since it uses less digits than its factorization.

813276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 94 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 813276 is about 901.8181634897. The cubic root of 813276 is about 93.3424764286.

It can be divided in two parts, 813 and 276, that added together give a square (1089 = 33²).

The spelling of 813276 in words is "eight hundred thirteen thousand, two hundred seventy-six".