816286000 has 80 divisors (see below), whose sum is σ = 2001175488. Its totient is φ = 321984000.

The previous prime is 816285983. The next prime is 816286001. The reversal of 816286000 is 682618.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (816286001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143205 + ... + 148795.

Almost surely, 2^816286000 is an apocalyptic number.

816286000 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 816286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000587744).

816286000 is an abundant number, since it is smaller than the sum of its proper divisors (1184889488).

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

816286000 is a wasteful number, since it uses less digits than its factorization.

816286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 816286000 is about 28570.7192769101. The cubic root of 816286000 is about 934.5749066129.

The spelling of 816286000 in words is "eight hundred sixteen million, two hundred eighty-six thousand".