87301777105764 has 243 divisors, whose sum is σ = 241510825747737. Its totient is φ = 26578415328192.

The previous prime is 87301777105759. The next prime is 87301777105769. The reversal of 87301777105764 is 46750177710378.

It is a happy number.

The square root of 87301777105764 is 9343542.

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

87301777105764 is a `hidden beast` number, since 8 + 7 + 30 + 17 + 7 + 7 + 10 + 576 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (87301777105759) and next prime (87301777105769).

It can be written as a sum of positive squares in only one way, i.e., 12914464068900 + 74387313036864 = 3593670^2 + 8624808^2 .

It is not an unprimeable number, because it can be changed into a prime (87301777105769) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 75066015847 + ... + 75066017009.

Almost surely, 2^{87301777105764} is an apocalyptic number.

87301777105764 is the 9343542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87301777105764

87301777105764 is an abundant number, since it is smaller than the sum of its proper divisors (154209048641973).

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

87301777105764 is a wasteful number, since it uses less digits than its factorization.

87301777105764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 48404160, while the sum is 63.

The spelling of 87301777105764 in words is "eighty-seven trillion, three hundred one billion, seven hundred seventy-seven million, one hundred five thousand, seven hundred sixty-four".