79853076000 has 288 divisors, whose sum is σ = 290316092976. Its totient is φ = 20774400000.

The previous prime is 79853075963. The next prime is 79853076001. The reversal of 79853076000 is 67035897.

It is a happy number.

79853076000 is a `hidden beast` number, since 7 + 9 + 8 + 5 + 30 + 7 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 213978384 + 79639097616 = 14628^2 + 282204^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 (79853076001) 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, 1448950 + ... + 1503050.

Almost surely, 2^79853076000 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 79853076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145158046488).

79853076000 is an abundant number, since it is smaller than the sum of its proper divisors (210463016976).

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

79853076000 is a wasteful number, since it uses less digits than its factorization.

79853076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54173 (or 54152 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 79853076000 in words is "seventy-nine billion, eight hundred fifty-three million, seventy-six thousand".