812655360 has 432 divisors, whose sum is σ = 3151014048. Its totient is φ = 193290240.

The previous prime is 812655293. The next prime is 812655373. The reversal of 812655360 is 63556218.

812655360 is a `hidden beast` number, since 81 + 26 + 553 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15333094 + ... + 15333146.

It is an arithmetic number, because the mean of its divisors is an integer number (7294014).

Almost surely, 2^812655360 is an apocalyptic number.

812655360 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 812655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575507024).

812655360 is an abundant number, since it is smaller than the sum of its proper divisors (2338358688).

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

812655360 is a wasteful number, since it uses less digits than its factorization.

812655360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 812655360 is about 28507.1106918958. The cubic root of 812655360 is about 933.1872605866.

The spelling of 812655360 in words is "eight hundred twelve million, six hundred fifty-five thousand, three hundred sixty".