85772836900 has 27 divisors (see below), whose sum is σ = 186133411569. Its totient is φ = 34307963280.

The previous prime is 85772836817. The next prime is 85772836901. The reversal of 85772836900 is 963827758.

The square root of 85772836900 is 292870.

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., 30878221284 + 54894615616 = 175722^2 + 234296^2 .

It is a super-2 number, since 2×85772836900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85772836901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2914057 + ... + 2943343.

Almost surely, 2^85772836900 is an apocalyptic number.

85772836900 is the 292870-th square number.

It is an amenable number.

85772836900 is an abundant number, since it is smaller than the sum of its proper divisors (100360574669).

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

85772836900 is an frugal number, since it uses more digits than its factorization.

85772836900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58588 (or 29294 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 85772836900 in words is "eighty-five billion, seven hundred seventy-two million, eight hundred thirty-six thousand, nine hundred".