887460000 has 240 divisors, whose sum is σ = 3328484544. Its totient is φ = 202752000.

The previous prime is 887459977. The next prime is 887460019. The reversal of 887460000 is 64788.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 418944 + ... + 421056.

Almost surely, 2^887460000 is an apocalyptic number.

887460000 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 887460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664242272).

887460000 is an abundant number, since it is smaller than the sum of its proper divisors (2441024544).

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

887460000 is a wasteful number, since it uses less digits than its factorization.

887460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 887460000 is about 29790.2668668812. The cubic root of 887460000 is about 960.9842336317.

The spelling of 887460000 in words is "eight hundred eighty-seven million, four hundred sixty thousand".