816140000 has 240 divisors, whose sum is σ = 2242869552. Its totient is φ = 290304000.

The previous prime is 816139997. The next prime is 816140047. The reversal of 816140000 is 41618.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11179964 + ... + 11180036.

Almost surely, 2^816140000 is an apocalyptic number.

816140000 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 816140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121434776).

816140000 is an abundant number, since it is smaller than the sum of its proper divisors (1426729552).

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

816140000 is a wasteful number, since it uses less digits than its factorization.

816140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 816140000 is about 28568.1640992207. The cubic root of 816140000 is about 934.5191842835.

Adding to 816140000 its reverse (41618), we get a palindrome (816181618).

The spelling of 816140000 in words is "eight hundred sixteen million, one hundred forty thousand".