880604887680 has 1920 divisors, whose sum is σ = 3865727669760. Its totient is φ = 190207180800.

The previous prime is 880604887651. The next prime is 880604887691. The reversal of 880604887680 is 86788406088.

880604887680 is a `hidden beast` number, since 8 + 8 + 0 + 6 + 0 + 488 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×880604887680³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4173482775 + ... + 4173482985.

It is an arithmetic number, because the mean of its divisors is an integer number (2013399828).

Almost surely, 2^880604887680 is an apocalyptic number.

880604887680 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 880604887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932863834880).

880604887680 is an abundant number, since it is smaller than the sum of its proper divisors (2985122782080).

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

880604887680 is a wasteful number, since it uses less digits than its factorization.

880604887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 880604887680 in words is "eight hundred eighty billion, six hundred four million, eight hundred eighty-seven thousand, six hundred eighty".