820041079200 has 576 divisors, whose sum is σ = 3217924039680. Its totient is φ = 177196032000.

The previous prime is 820041079199. The next prime is 820041079201. The reversal of 820041079200 is 2970140028.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (820041079199) and next prime (820041079201).

It is not an unprimeable number, because it can be changed into a prime (820041079201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166300735 + ... + 166305665.

It is an arithmetic number, because the mean of its divisors is an integer number (5586673680).

Almost surely, 2^820041079200 is an apocalyptic number.

820041079200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820041079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608962019840).

820041079200 is an abundant number, since it is smaller than the sum of its proper divisors (2397882960480).

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

820041079200 is a wasteful number, since it uses less digits than its factorization.

820041079200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5501 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 820041079200 in words is "eight hundred twenty billion, forty-one million, seventy-nine thousand, two hundred".