813256770240 has 224 divisors, whose sum is σ = 2904411280320. Its totient is φ = 216868285440.

The previous prime is 813256770229. The next prime is 813256770247. The reversal of 813256770240 is 42077652318.

813256770240 is a `hidden beast` number, since 8 + 13 + 2 + 567 + 70 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×813256770240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (813256770247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118810 + ... + 1280870.

Almost surely, 2^813256770240 is an apocalyptic number.

813256770240 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 813256770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452205640160).

813256770240 is an abundant number, since it is smaller than the sum of its proper divisors (2091154510080).

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

813256770240 is an equidigital number, since it uses as much as digits as its factorization.

813256770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162099 (or 1162071 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 813256770240 in words is "eight hundred thirteen billion, two hundred fifty-six million, seven hundred seventy thousand, two hundred forty".