812864160 has 384 divisors, whose sum is σ = 3035128320. Its totient is φ = 205286400.

The previous prime is 812864153. The next prime is 812864179. The reversal of 812864160 is 61468218.

812864160 is a `hidden beast` number, since 8 + 1 + 2 + 8 + 641 + 6 + 0 = 666.

It is a super-2 number, since 2×812864160² = 1321496285225011200, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 8048110 + ... + 8048210.

It is an arithmetic number, because the mean of its divisors is an integer number (7903980).

Almost surely, 2^812864160 is an apocalyptic number.

812864160 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 812864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517564160).

812864160 is an abundant number, since it is smaller than the sum of its proper divisors (2222264160).

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

812864160 is a wasteful number, since it uses less digits than its factorization.

812864160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 812864160 is about 28510.7727008582. The cubic root of 812864160 is about 933.2671767167.

The spelling of 812864160 in words is "eight hundred twelve million, eight hundred sixty-four thousand, one hundred sixty".