816732000 has 432 divisors, whose sum is σ = 3379102272. Its totient is φ = 186278400.

The previous prime is 816731999. The next prime is 816732031. The reversal of 816732000 is 237618.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1763769 + ... + 1764231.

It is an arithmetic number, because the mean of its divisors is an integer number (7821996).

Almost surely, 2^816732000 is an apocalyptic number.

816732000 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 816732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689551136).

816732000 is an abundant number, since it is smaller than the sum of its proper divisors (2562370272).

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

816732000 is a wasteful number, since it uses less digits than its factorization.

816732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 816732000 is about 28578.5234048227. The cubic root of 816732000 is about 934.7450857404.

Adding to 816732000 its reverse (237618), we get a palindrome (816969618).

The spelling of 816732000 in words is "eight hundred sixteen million, seven hundred thirty-two thousand".