820201870761 has 48 divisors (see below), whose sum is σ = 1370201341824. Its totient is φ = 432572749056.

The previous prime is 820201870703. The next prime is 820201870771. The reversal of 820201870761 is 167078102028.

It is not a de Polignac number, because 820201870761 - 2²¹ = 820199773609 is a prime.

It is a super-2 number, since 2×820201870761² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820201870771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15580861 + ... + 15633413.

It is an arithmetic number, because the mean of its divisors is an integer number (28545861288).

Almost surely, 2^820201870761 is an apocalyptic number.

It is an amenable number.

820201870761 is a deficient number, since it is larger than the sum of its proper divisors (549999471063).

820201870761 is a wasteful number, since it uses less digits than its factorization.

820201870761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60750 (or 60743 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

Adding to 820201870761 its reverse (167078102028), we get a palindrome (987279972789).

The spelling of 820201870761 in words is "eight hundred twenty billion, two hundred one million, eight hundred seventy thousand, seven hundred sixty-one".