811334160 has 720 divisors, whose sum is σ = 3588989040. Its totient is φ = 162570240.

The previous prime is 811334149. The next prime is 811334179. The reversal of 811334160 is 61433118.

It can be written as a sum of positive squares in 8 ways, for example, as 226081296 + 585252864 = 15036^2 + 24192^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13300530 + ... + 13300590.

It is an arithmetic number, because the mean of its divisors is an integer number (4984707).

Almost surely, 2^811334160 is an apocalyptic number.

811334160 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 811334160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794494520).

811334160 is an abundant number, since it is smaller than the sum of its proper divisors (2777654880).

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

811334160 is a wasteful number, since it uses less digits than its factorization.

811334160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 811334160 is about 28483.9280998952. The cubic root of 811334160 is about 932.6812667667.

Adding to 811334160 its reverse (61433118), we get a palindrome (872767278).

It can be divided in two parts, 811 and 334160, that added together give a triangular number (334971 = T₈₁₈).

The spelling of 811334160 in words is "eight hundred eleven million, three hundred thirty-four thousand, one hundred sixty".