810380160 has 256 divisors, whose sum is σ = 2996352000. Its totient is φ = 206604288.

The previous prime is 810380143. The next prime is 810380167. The reversal of 810380160 is 61083018.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810380167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396421 + ... + 398459.

It is an arithmetic number, because the mean of its divisors is an integer number (11704500).

Almost surely, 2^810380160 is an apocalyptic number.

810380160 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 810380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498176000).

810380160 is an abundant number, since it is smaller than the sum of its proper divisors (2185971840).

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

810380160 is a wasteful number, since it uses less digits than its factorization.

810380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 810380160 is about 28467.1768884798. The cubic root of 810380160 is about 932.3155617563.

The spelling of 810380160 in words is "eight hundred ten million, three hundred eighty thousand, one hundred sixty".