87722330640400 has 135 divisors (see below), whose sum is σ = 211788076435741. Its totient is φ = 34917421697920.

The previous prime is 87722330640359. The next prime is 87722330640409. The reversal of 87722330640400 is 404603322778.

The square root of 87722330640400 is 9366020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31580039030544 + 56142291609856 = 5619612^2 + 7492816^2 .

It is a super-2 number, since 2×87722330640400² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87722330640409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42521729769 + ... + 42521731831.

Almost surely, 2^{87722330640400} is an apocalyptic number.

87722330640400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87722330640400 is the 9366020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87722330640400

87722330640400 is an abundant number, since it is smaller than the sum of its proper divisors (124065745795341).

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

87722330640400 is an frugal number, since it uses more digits than its factorization.

87722330640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 46.

The spelling of 87722330640400 in words is "eighty-seven trillion, seven hundred twenty-two billion, three hundred thirty million, six hundred forty thousand, four hundred".