87776448 has 112 divisors (see below), whose sum is σ = 242279424. Its totient is φ = 28026880.

The previous prime is 87776443. The next prime is 87776477. The reversal of 87776448 is 84467778.

It is a self number, because there is not a number n which added to its sum of digits gives 87776448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87776443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640636 + ... + 640772.

Almost surely, 2^87776448 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 87776448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121139712).

87776448 is an abundant number, since it is smaller than the sum of its proper divisors (154502976).

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

87776448 is a wasteful number, since it uses less digits than its factorization.

87776448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its digits is 2107392, while the sum is 51.

The square root of 87776448 is about 9368.9085810461. The cubic root of 87776448 is about 444.4190508454.

It can be divided in two parts, 8777 and 6448, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 87776448 in words is "eighty-seven million, seven hundred seventy-six thousand, four hundred forty-eight".