76801205 has 24 divisors (see below), whose sum is σ = 100932552. Its totient is φ = 56070144.

The previous prime is 76801201. The next prime is 76801237. The reversal of 76801205 is 50210867.

It can be written as a sum of positive squares in 12 ways, for example, as 64368529 + 12432676 = 8023^2 + 3526^2 .

It is not a de Polignac number, because 76801205 - 2² = 76801201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76801201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81497 + ... + 82433.

It is an arithmetic number, because the mean of its divisors is an integer number (4205523).

Almost surely, 2^76801205 is an apocalyptic number.

It is an amenable number.

76801205 is a deficient number, since it is larger than the sum of its proper divisors (24131347).

76801205 is a wasteful number, since it uses less digits than its factorization.

76801205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 76801205 is about 8763.6296704048. The cubic root of 76801205 is about 425.0656507579.

The spelling of 76801205 in words is "seventy-six million, eight hundred one thousand, two hundred five".