87378768 has 90 divisors (see below), whose sum is σ = 251503434. Its totient is φ = 28309632.

The previous prime is 87378757. The next prime is 87378803. The reversal of 87378768 is 86787378.

It can be written as a sum of positive squares in only one way, i.e., 80784144 + 6594624 = 8988^2 + 2568^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 816571 + ... + 816677.

Almost surely, 2^87378768 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 87378768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125751717).

87378768 is an abundant number, since it is smaller than the sum of its proper divisors (164124666).

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

87378768 is a wasteful number, since it uses less digits than its factorization.

87378768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 165 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 87378768 is about 9347.6610978362. The cubic root of 87378768 is about 443.7468730058.

The spelling of 87378768 in words is "eighty-seven million, three hundred seventy-eight thousand, seven hundred sixty-eight".