87822729801 has 27 divisors (see below), whose sum is σ = 127816404807. Its totient is φ = 58108111920.

The previous prime is 87822729781. The next prime is 87822729809. The reversal of 87822729801 is 10892722878.

The square root of 87822729801 is 296349.

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., 79888196025 + 7934533776 = 282645^2 + 89076^2 .

It is not a de Polignac number, because 87822729801 - 2¹⁷ = 87822598729 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87822729809) 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, 153804846 + ... + 153805416.

Almost surely, 2^87822729801 is an apocalyptic number.

87822729801 is the 296349-th square number.

87822729801 is the 148175-th centered octagonal number.

It is an amenable number.

87822729801 is a deficient number, since it is larger than the sum of its proper divisors (39993675006).

87822729801 is an frugal number, since it uses more digits than its factorization.

87822729801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 87822729801 in words is "eighty-seven billion, eight hundred twenty-two million, seven hundred twenty-nine thousand, eight hundred one".