887305466880 has 1760 divisors, whose sum is σ = 3858876274176. Its totient is φ = 190593368064.

The previous prime is 887305466867. The next prime is 887305466891. The reversal of 887305466880 is 88664503788.

887305466880 is a `hidden beast` number, since 8 + 8 + 7 + 3 + 0 + 546 + 6 + 8 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6476682172 + ... + 6476682308.

Almost surely, 2^887305466880 is an apocalyptic number.

887305466880 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 887305466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929438137088).

887305466880 is an abundant number, since it is smaller than the sum of its proper divisors (2971570807296).

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

887305466880 is a wasteful number, since it uses less digits than its factorization.

887305466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 887305466880 in words is "eight hundred eighty-seven billion, three hundred five million, four hundred sixty-six thousand, eight hundred eighty".