883630080 has 448 divisors, whose sum is σ = 3397178880. Its totient is φ = 217055232.

The previous prime is 883630051. The next prime is 883630109. The reversal of 883630080 is 80036388.

It is an interprime number because it is at equal distance from previous prime (883630051) and next prime (883630109).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18800617 + ... + 18800663.

Almost surely, 2^883630080 is an apocalyptic number.

883630080 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 883630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698589440).

883630080 is an abundant number, since it is smaller than the sum of its proper divisors (2513548800).

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

883630080 is a wasteful number, since it uses less digits than its factorization.

883630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 883630080 is about 29725.9159657024. The cubic root of 883630080 is about 959.5998332175.

The spelling of 883630080 in words is "eight hundred eighty-three million, six hundred thirty thousand, eighty".