820407300096 has 416 divisors, whose sum is σ = 2391467950080. Its totient is φ = 249185894400.

The previous prime is 820407300079. The next prime is 820407300103. The reversal of 820407300096 is 690003704028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1903497001 + ... + 1903497431.

Almost surely, 2^820407300096 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 820407300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195733975040).

820407300096 is an abundant number, since it is smaller than the sum of its proper divisors (1571060649984).

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

820407300096 is a wasteful number, since it uses less digits than its factorization.

820407300096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 820407300096 in words is "eight hundred twenty billion, four hundred seven million, three hundred thousand, ninety-six".