82723607307 has 24 divisors (see below), whose sum is σ = 134847264240. Its totient is φ = 48406706880.

The previous prime is 82723607209. The next prime is 82723607339. The reversal of 82723607307 is 70370632728.

82723607307 is a `hidden beast` number, since 8 + 2 + 7 + 2 + 3 + 607 + 30 + 7 = 666.

It is not a de Polignac number, because 82723607307 - 2⁸ = 82723607051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82723607207) 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, 14403888 + ... + 14409629.

It is an arithmetic number, because the mean of its divisors is an integer number (5618636010).

Almost surely, 2^82723607307 is an apocalyptic number.

82723607307 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

82723607307 is a deficient number, since it is larger than the sum of its proper divisors (52123656933).

82723607307 is a wasteful number, since it uses less digits than its factorization.

82723607307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28813563 (or 28813560 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 82723607307 in words is "eighty-two billion, seven hundred twenty-three million, six hundred seven thousand, three hundred seven".