880209120 has 192 divisors, whose sum is σ = 3184828416. Its totient is φ = 200171520.

The previous prime is 880209089. The next prime is 880209151. The reversal of 880209120 is 21902088.

It is an interprime number because it is at equal distance from previous prime (880209089) and next prime (880209151).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 809217 + ... + 810303.

It is an arithmetic number, because the mean of its divisors is an integer number (16587648).

Almost surely, 2^880209120 is an apocalyptic number.

880209120 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 880209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592414208).

880209120 is an abundant number, since it is smaller than the sum of its proper divisors (2304619296).

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

880209120 is a wasteful number, since it uses less digits than its factorization.

880209120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 880209120 is about 29668.3184558883. The cubic root of 880209120 is about 958.3598731066.

The spelling of 880209120 in words is "eight hundred eighty million, two hundred nine thousand, one hundred twenty".