812482560 has 384 divisors, whose sum is σ = 3067038000. Its totient is φ = 198180864.

The previous prime is 812482537. The next prime is 812482591. The reversal of 812482560 is 65284218.

812482560 is a `hidden beast` number, since 8 + 12 + 4 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 28016626 + ... + 28016654.

Almost surely, 2^812482560 is an apocalyptic number.

812482560 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 812482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533519000).

812482560 is an abundant number, since it is smaller than the sum of its proper divisors (2254555440).

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

812482560 is a wasteful number, since it uses less digits than its factorization.

812482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 812482560 is about 28504.0797079997. The cubic root of 812482560 is about 933.1211127468.

The spelling of 812482560 in words is "eight hundred twelve million, four hundred eighty-two thousand, five hundred sixty".