823850880 has 128 divisors (see below), whose sum is σ = 2697230880. Its totient is φ = 213737472.

The previous prime is 823850861. The next prime is 823850893. The reversal of 823850880 is 88058328.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65242 + ... + 76838.

Almost surely, 2^823850880 is an apocalyptic number.

823850880 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 823850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348615440).

823850880 is an abundant number, since it is smaller than the sum of its proper divisors (1873380000).

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

823850880 is a wasteful number, since it uses less digits than its factorization.

823850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11656 (or 11644 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 823850880 is about 28702.8026506124. The cubic root of 823850880 is about 937.4530721399.

The spelling of 823850880 in words is "eight hundred twenty-three million, eight hundred fifty thousand, eight hundred eighty".