887760 has 100 divisors (see below), whose sum is σ = 3105828. Its totient is φ = 235008.

The previous prime is 887759. The next prime is 887819. The reversal of 887760 is 67788.

It is a happy number.

887760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 467856 = 648^2 + 684^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6412 + ... + 6548.

2⁸⁸⁷⁷⁶⁰ is an apocalyptic number.

887760 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 887760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552914).

887760 is an abundant number, since it is smaller than the sum of its proper divisors (2218068).

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

887760 is a wasteful number, since it uses less digits than its factorization.

887760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 887760 is about 942.2101676378. The cubic root of 887760 is about 96.1092506226.

The spelling of 887760 in words is "eight hundred eighty-seven thousand, seven hundred sixty".