820722727 has 8 divisors (see below), whose sum is σ = 942456960. Its totient is φ = 706842360.

The previous prime is 820722673. The next prime is 820722739. The reversal of 820722727 is 727227028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820722727 is a prime.

It is a super-2 number, since 2×820722727² = 1347171589228633058, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820723727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1963243 + ... + 1963660.

It is an arithmetic number, because the mean of its divisors is an integer number (117807120).

Almost surely, 2^820722727 is an apocalyptic number.

820722727 is a deficient number, since it is larger than the sum of its proper divisors (121734233).

820722727 is a wasteful number, since it uses less digits than its factorization.

820722727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926933.

The product of its (nonzero) digits is 43904, while the sum is 37.

The square root of 820722727 is about 28648.2587079913. The cubic root of 820722727 is about 936.2650674847.

The spelling of 820722727 in words is "eight hundred twenty million, seven hundred twenty-two thousand, seven hundred twenty-seven".