833990080 has 336 divisors, whose sum is σ = 2656075968. Its totient is φ = 243302400.

The previous prime is 833990057. The next prime is 833990081. The reversal of 833990080 is 80099338.

833990080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (833990081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4607590 + ... + 4607770.

It is an arithmetic number, because the mean of its divisors is an integer number (7904988).

Almost surely, 2^833990080 is an apocalyptic number.

833990080 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 833990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328037984).

833990080 is an abundant number, since it is smaller than the sum of its proper divisors (1822085888).

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

833990080 is a wasteful number, since it uses less digits than its factorization.

833990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 833990080 is about 28878.8864051230. The cubic root of 833990080 is about 941.2831728781.

The spelling of 833990080 in words is "eight hundred thirty-three million, nine hundred ninety thousand, eighty".