79802496000 has 880 divisors, whose sum is σ = 306022242240. Its totient is φ = 20669644800.

The previous prime is 79802495999. The next prime is 79802496017. The reversal of 79802496000 is 69420897.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 445823911 + ... + 445824089.

It is an arithmetic number, because the mean of its divisors is an integer number (347752548).

Almost surely, 2^79802496000 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 79802496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153011121120).

79802496000 is an abundant number, since it is smaller than the sum of its proper divisors (226219746240).

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

79802496000 is a wasteful number, since it uses less digits than its factorization.

79802496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 79802496000 in words is "seventy-nine billion, eight hundred two million, four hundred ninety-six thousand".