88776 has 40 divisors (see below), whose sum is σ = 250470. Its totient is φ = 29376.

The previous prime is 88771. The next prime is 88789. The reversal of 88776 is 67788.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 15876 = 270^2 + 126^2 .

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 self number, because there is not a number n which added to its sum of digits gives 88776.

It is not an unprimeable number, because it can be changed into a prime (88771) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 580 + ... + 716.

2⁸⁸⁷⁷⁶ 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 88776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125235).

88776 is an abundant number, since it is smaller than the sum of its proper divisors (161694).

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

88776 is a wasteful number, since it uses less digits than its factorization.

88776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

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

The square root of 88776 is about 297.9530164304. The cubic root of 88776 is about 44.6099624497.

The spelling of 88776 in words is "eighty-eight thousand, seven hundred seventy-six".