812540160 has 360 divisors, whose sum is σ = 3085119576. Its totient is φ = 203489280.

The previous prime is 812540129. The next prime is 812540227. The reversal of 812540160 is 61045218.

It can be written as a sum of positive squares in 4 ways, for example, as 110502144 + 702038016 = 10512^2 + 26496^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×812540160² = 1320443023225651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762330 + ... + 1762790.

Almost surely, 2^812540160 is an apocalyptic number.

812540160 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 812540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542559788).

812540160 is an abundant number, since it is smaller than the sum of its proper divisors (2272579416).

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

812540160 is a wasteful number, since it uses less digits than its factorization.

812540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 812540160 is about 28505.0900717749. The cubic root of 812540160 is about 933.1431630688.

Adding to 812540160 its reverse (61045218), we get a palindrome (873585378).

The spelling of 812540160 in words is "eight hundred twelve million, five hundred forty thousand, one hundred sixty".