900823057920 has 800 divisors, whose sum is σ = 3409043235840. Its totient is φ = 226994503680.

The previous prime is 900823057909. The next prime is 900823057949. The reversal of 900823057920 is 29750328009.

It is a super-2 number, since 2×900823057920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 276409251 + ... + 276412509.

Almost surely, 2^900823057920 is an apocalyptic number.

900823057920 is a gapful number since it is divisible by the number (90) 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 900823057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704521617920).

900823057920 is an abundant number, since it is smaller than the sum of its proper divisors (2508220177920).

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

900823057920 is a wasteful number, since it uses less digits than its factorization.

900823057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 900823057920 in words is "nine hundred billion, eight hundred twenty-three million, fifty-seven thousand, nine hundred twenty".