820704011027 has 16 divisors (see below), whose sum is σ = 880977788352. Its totient is φ = 761765483520.

The previous prime is 820704011009. The next prime is 820704011059. The reversal of 820704011027 is 720110407028.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 820704011027 - 2³² = 816409043731 is a prime.

It is a super-2 number, since 2×820704011027² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 820704010984 and 820704011002.

It is not an unprimeable number, because it can be changed into a prime (820704031027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13945538 + ... + 14004264.

It is an arithmetic number, because the mean of its divisors is an integer number (55061111772).

Almost surely, 2^820704011027 is an apocalyptic number.

820704011027 is a deficient number, since it is larger than the sum of its proper divisors (60273777325).

820704011027 is a wasteful number, since it uses less digits than its factorization.

820704011027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70078.

The product of its (nonzero) digits is 6272, while the sum is 32.

The spelling of 820704011027 in words is "eight hundred twenty billion, seven hundred four million, eleven thousand, twenty-seven".