816280500 has 288 divisors, whose sum is σ = 2896508160. Its totient is φ = 174950400.

The previous prime is 816280477. The next prime is 816280529. The reversal of 816280500 is 5082618.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3034366 + ... + 3034634.

It is an arithmetic number, because the mean of its divisors is an integer number (10057320).

Almost surely, 2^816280500 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 816280500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448254080).

816280500 is an abundant number, since it is smaller than the sum of its proper divisors (2080227660).

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

816280500 is a wasteful number, since it uses less digits than its factorization.

816280500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 816280500 is about 28570.6230243584. The cubic root of 816280500 is about 934.5728076045.

The spelling of 816280500 in words is "eight hundred sixteen million, two hundred eighty thousand, five hundred".