88780 has 24 divisors (see below), whose sum is σ = 195552. Its totient is φ = 33792.

The previous prime is 88771. The next prime is 88789. The reversal of 88780 is 8788.

It is an interprime number because it is at equal distance from previous prime (88771) and next prime (88789).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (88789) by changing a digit.

88780 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364 + ... + 556.

It is an arithmetic number, because the mean of its divisors is an integer number (8148).

2⁸⁸⁷⁸⁰ 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 88780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97776).

88780 is an abundant number, since it is smaller than the sum of its proper divisors (106772).

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

88780 is a wasteful number, since it uses less digits than its factorization.

88780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 88780 is about 297.9597288225. The cubic root of 88780 is about 44.6106324400.

It can be divided in two parts, 88 and 780, that added together give a palindrome (868).

The spelling of 88780 in words is "eighty-eight thousand, seven hundred eighty".