87787756 has 48 divisors (see below), whose sum is σ = 184242240. Its totient is φ = 35804160.

The previous prime is 87787751. The next prime is 87787759. The reversal of 87787756 is 65778778.

It is a junction number, because it is equal to n+sod(n) for n = 87787697 and 87787706.

It is not an unprimeable number, because it can be changed into a prime (87787751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58536 + ... + 60016.

It is an arithmetic number, because the mean of its divisors is an integer number (3838380).

Almost surely, 2^87787756 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 87787756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92121120).

87787756 is an abundant number, since it is smaller than the sum of its proper divisors (96454484).

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

87787756 is a wasteful number, since it uses less digits than its factorization.

87787756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1592 counting only the distinct ones).

The product of its digits is 4609920, while the sum is 55.

The square root of 87787756 is about 9369.5120470599. The cubic root of 87787756 is about 444.4381344567.

The spelling of 87787756 in words is "eighty-seven million, seven hundred eighty-seven thousand, seven hundred fifty-six".