813240400 has 60 divisors (see below), whose sum is σ = 2232933472. Its totient is φ = 278824320.

The previous prime is 813240383. The next prime is 813240409. The reversal of 813240400 is 4042318.

It is a super-2 number, since 2×813240400² = 1322719896384320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813240409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142422 + ... + 148021.

Almost surely, 2^813240400 is an apocalyptic number.

813240400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813240400 is an abundant number, since it is smaller than the sum of its proper divisors (1419693072).

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

813240400 is a wasteful number, since it uses less digits than its factorization.

813240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290468 (or 290457 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 813240400 is about 28517.3701452290. The cubic root of 813240400 is about 933.4111443065.

Adding to 813240400 its reverse (4042318), we get a palindrome (817282718).

The spelling of 813240400 in words is "eight hundred thirteen million, two hundred forty thousand, four hundred".