87780168 has 144 divisors (see below), whose sum is σ = 280098000. Its totient is φ = 24760512.

The previous prime is 87780151. The next prime is 87780179. The reversal of 87780168 is 86108778.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 490303 + ... + 490481.

It is an arithmetic number, because the mean of its divisors is an integer number (1945125).

Almost surely, 2^87780168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87780168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140049000).

87780168 is an abundant number, since it is smaller than the sum of its proper divisors (192317832).

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

87780168 is a wasteful number, since it uses less digits than its factorization.

87780168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 87780168 is about 9369.1071079372. The cubic root of 87780168 is about 444.4253289742.

The spelling of 87780168 in words is "eighty-seven million, seven hundred eighty thousand, one hundred sixty-eight".