87772360 has 64 divisors (see below), whose sum is σ = 225212400. Its totient is φ = 30498816.

The previous prime is 87772327. The next prime is 87772369. The reversal of 87772360 is 6327778.

It can be written as a sum of positive squares in 8 ways, for example, as 20958084 + 66814276 = 4578^2 + 8174^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (87772369) 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, 3876 + ... + 13804.

Almost surely, 2^87772360 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 87772360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112606200).

87772360 is an abundant number, since it is smaller than the sum of its proper divisors (137440040).

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

87772360 is a wasteful number, since it uses less digits than its factorization.

87772360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9970 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 87772360 is about 9368.6904100840. The cubic root of 87772360 is about 444.4121514500.

It can be divided in two parts, 877 and 72360, that added together give a palindrome (73237).

The spelling of 87772360 in words is "eighty-seven million, seven hundred seventy-two thousand, three hundred sixty".