820799107380 has 192 divisors, whose sum is σ = 3071996928000. Its totient is φ = 177736934016.

The previous prime is 820799107363. The next prime is 820799107441. The reversal of 820799107380 is 83701997028.

It is a super-2 number, since 2×820799107380² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5642460 + ... + 5786099.

It is an arithmetic number, because the mean of its divisors is an integer number (15999984000).

Almost surely, 2^820799107380 is an apocalyptic number.

It is an amenable number.

820799107380 is an abundant number, since it is smaller than the sum of its proper divisors (2251197820620).

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

820799107380 is a wasteful number, since it uses less digits than its factorization.

820799107380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11428603 (or 11428595 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 820799107380 in words is "eight hundred twenty billion, seven hundred ninety-nine million, one hundred seven thousand, three hundred eighty".