813576240 has 240 divisors, whose sum is σ = 2894404032. Its totient is φ = 204374016.

The previous prime is 813576227. The next prime is 813576241. The reversal of 813576240 is 42675318.

813576240 is a `hidden beast` number, since 81 + 3 + 576 + 2 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 813576195 and 813576204.

It is not an unprimeable number, because it can be changed into a prime (813576241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1208544 + ... + 1209216.

Almost surely, 2^813576240 is an apocalyptic number.

813576240 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 813576240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447202016).

813576240 is an abundant number, since it is smaller than the sum of its proper divisors (2080827792).

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

813576240 is a wasteful number, since it uses less digits than its factorization.

813576240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 813576240 is about 28523.2578784402. The cubic root of 813576240 is about 933.5396154026.

The spelling of 813576240 in words is "eight hundred thirteen million, five hundred seventy-six thousand, two hundred forty".