813227520 has 240 divisors, whose sum is σ = 3025641168. Its totient is φ = 185794560.

The previous prime is 813227507. The next prime is 813227543. The reversal of 813227520 is 25722318.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×813227520² = 1322677998570700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375240 + ... + 377400.

Almost surely, 2^813227520 is an apocalyptic number.

813227520 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 813227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512820584).

813227520 is an abundant number, since it is smaller than the sum of its proper divisors (2212413648).

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

813227520 is a wasteful number, since it uses less digits than its factorization.

813227520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 813227520 is about 28517.1443170595. The cubic root of 813227520 is about 933.4062165307.

Adding to 813227520 its reverse (25722318), we get a palindrome (838949838).

The spelling of 813227520 in words is "eight hundred thirteen million, two hundred twenty-seven thousand, five hundred twenty".