880800480 has 720 divisors, whose sum is σ = 3858457680. Its totient is φ = 188116992.

The previous prime is 880800443. The next prime is 880800491. The reversal of 880800480 is 84008088.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12065724 + ... + 12065796.

It is an arithmetic number, because the mean of its divisors is an integer number (5358969).

Almost surely, 2^880800480 is an apocalyptic number.

880800480 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 880800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929228840).

880800480 is an abundant number, since it is smaller than the sum of its proper divisors (2977657200).

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

880800480 is a wasteful number, since it uses less digits than its factorization.

880800480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 880800480 is about 29678.2829692016. The cubic root of 880800480 is about 958.5744466704.

The spelling of 880800480 in words is "eight hundred eighty million, eight hundred thousand, four hundred eighty".