8100729 has 60 divisors (see below), whose sum is σ = 15256164. Its totient is φ = 4245696.

The previous prime is 8100713. The next prime is 8100731. The reversal of 8100729 is 9270018.

8100729 = T₁₂₇ + T₁₂₈ + ... + T₃₆₉.

It can be written as a sum of positive squares in 2 ways, for example, as 1750329 + 6350400 = 1323^2 + 2520^2 .

It is not a de Polignac number, because 8100729 - 2⁴ = 8100713 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

8100729 is a modest number, since divided by 729 gives 81 as remainder.

It is not an unprimeable number, because it can be changed into a prime (8100709) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 51519 + ... + 51675.

Almost surely, 2^8100729 is an apocalyptic number.

It is an amenable number.

8100729 is a deficient number, since it is larger than the sum of its proper divisors (7155435).

8100729 is a wasteful number, since it uses less digits than its factorization.

8100729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 8100729 is about 2846.1779635153. The cubic root of 8100729 is about 200.8359097405.

It can be divided in two parts, 8100 and 729, that multiplied together give a square (5904900 = 2430²).

The spelling of 8100729 in words is "eight million, one hundred thousand, seven hundred twenty-nine".