820873010407 has 32 divisors (see below), whose sum is σ = 929309760000. Its totient is φ = 720440552448.

The previous prime is 820873010393. The next prime is 820873010411. The reversal of 820873010407 is 704010378028.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820873010407 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820873010407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820873010807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11731038 + ... + 11800804.

It is an arithmetic number, because the mean of its divisors is an integer number (29040930000).

Almost surely, 2^820873010407 is an apocalyptic number.

820873010407 is a deficient number, since it is larger than the sum of its proper divisors (108436749593).

820873010407 is a wasteful number, since it uses less digits than its factorization.

820873010407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70375.

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 820873010407 in words is "eight hundred twenty billion, eight hundred seventy-three million, ten thousand, four hundred seven".