87785440 has 48 divisors (see below), whose sum is σ = 208392912. Its totient is φ = 34945024.

The previous prime is 87785429. The next prime is 87785441. The reversal of 87785440 is 4458778.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87785441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35112 + ... + 37528.

It is an arithmetic number, because the mean of its divisors is an integer number (4341519).

Almost surely, 2^87785440 is an apocalyptic number.

87785440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104196456).

87785440 is an abundant number, since it is smaller than the sum of its proper divisors (120607472).

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

87785440 is a wasteful number, since it uses less digits than its factorization.

87785440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 43.

The square root of 87785440 is about 9369.3884538960. The cubic root of 87785440 is about 444.4342260614.

The spelling of 87785440 in words is "eighty-seven million, seven hundred eighty-five thousand, four hundred forty".