820091303676 has 144 divisors (see below), whose sum is σ = 2172516772608. Its totient is φ = 270478051200.

The previous prime is 820091303671. The next prime is 820091303687. The reversal of 820091303676 is 676303190028.

It is a super-2 number, since 2×820091303676² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820091303671) 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, 148269031 + ... + 148274561.

It is an arithmetic number, because the mean of its divisors is an integer number (15086922032).

Almost surely, 2^820091303676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820091303676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086258386304).

820091303676 is an abundant number, since it is smaller than the sum of its proper divisors (1352425468932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820091303676 is a wasteful number, since it uses less digits than its factorization.

820091303676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7134 (or 7120 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 820091303676 in words is "eight hundred twenty billion, ninety-one million, three hundred three thousand, six hundred seventy-six".