823963500 has 288 divisors, whose sum is σ = 2861913600. Its totient is φ = 198633600.

The previous prime is 823963489. The next prime is 823963529. The reversal of 823963500 is 5369328.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1966291 + ... + 1966709.

It is an arithmetic number, because the mean of its divisors is an integer number (9937200).

Almost surely, 2^823963500 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 823963500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430956800).

823963500 is an abundant number, since it is smaller than the sum of its proper divisors (2037950100).

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

823963500 is a wasteful number, since it uses less digits than its factorization.

823963500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 823963500 is about 28704.7644128984. The cubic root of 823963500 is about 937.4957866477.

The spelling of 823963500 in words is "eight hundred twenty-three million, nine hundred sixty-three thousand, five hundred".