87788778 has 128 divisors (see below), whose sum is σ = 235284480. Its totient is φ = 21150720.

The previous prime is 87788773. The next prime is 87788791.

87788778 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (87788773) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 640726 + ... + 640862.

It is an arithmetic number, because the mean of its divisors is an integer number (1838160).

Almost surely, 2^87788778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87788778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117642240).

87788778 is an abundant number, since it is smaller than the sum of its proper divisors (147495702).

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

87788778 is a wasteful number, since it uses less digits than its factorization.

87788778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252.

The product of its digits is 9834496, while the sum is 60.

The square root of 87788778 is about 9369.5665854937. The cubic root of 87788778 is about 444.4398591240.

The spelling of 87788778 in words is "eighty-seven million, seven hundred eighty-eight thousand, seven hundred seventy-eight".