79782624000 has 576 divisors, whose sum is σ = 297538375680. Its totient is φ = 21052108800.

The previous prime is 79782623971. The next prime is 79782624041. The reversal of 79782624000 is 42628797.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92447569 + ... + 92448431.

It is an arithmetic number, because the mean of its divisors is an integer number (516559680).

Almost surely, 2^79782624000 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 79782624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148769187840).

79782624000 is an abundant number, since it is smaller than the sum of its proper divisors (217755751680).

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

79782624000 is a wasteful number, since it uses less digits than its factorization.

79782624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 79782624000 in words is "seventy-nine billion, seven hundred eighty-two million, six hundred twenty-four thousand".