880830720 has 576 divisors, whose sum is σ = 3908782080. Its totient is φ = 182476800.

The previous prime is 880830719. The next prime is 880830721. The reversal of 880830720 is 27038088.

It is an interprime number because it is at equal distance from previous prime (880830719) and next prime (880830721).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (880830721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2660955 + ... + 2661285.

It is an arithmetic number, because the mean of its divisors is an integer number (6786080).

Almost surely, 2^880830720 is an apocalyptic number.

880830720 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 880830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954391040).

880830720 is an abundant number, since it is smaller than the sum of its proper divisors (3027951360).

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

880830720 is a wasteful number, since it uses less digits than its factorization.

880830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 880830720 is about 29678.7924282643. The cubic root of 880830720 is about 958.5854166007.

The spelling of 880830720 in words is "eight hundred eighty million, eight hundred thirty thousand, seven hundred twenty".