816319900 has 144 divisors (see below), whose sum is σ = 2051868672. Its totient is φ = 279072000.

The previous prime is 816319897. The next prime is 816319919. The reversal of 816319900 is 9913618.

It is a super-3 number, since 3×816319900³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 816319900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1261377 + ... + 1262023.

It is an arithmetic number, because the mean of its divisors is an integer number (14249088).

Almost surely, 2^816319900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816319900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025934336).

816319900 is an abundant number, since it is smaller than the sum of its proper divisors (1235548772).

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

816319900 is a wasteful number, since it uses less digits than its factorization.

816319900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 816319900 is about 28571.3125354787. The cubic root of 816319900 is about 934.5878439293.

The spelling of 816319900 in words is "eight hundred sixteen million, three hundred nineteen thousand, nine hundred".