79821828000 has 384 divisors, whose sum is σ = 292245408000. Its totient is φ = 21161779200.

The previous prime is 79821827963. The next prime is 79821828007. The reversal of 79821828000 is 82812897.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (79821828007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19329936 + ... + 19334064.

It is an arithmetic number, because the mean of its divisors is an integer number (761055750).

Almost surely, 2^79821828000 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 79821828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146122704000).

79821828000 is an abundant number, since it is smaller than the sum of its proper divisors (212423580000).

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

79821828000 is a wasteful number, since it uses less digits than its factorization.

79821828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 79821828000 in words is "seventy-nine billion, eight hundred twenty-one million, eight hundred twenty-eight thousand".