79761600000 has 720 divisors, whose sum is σ = 299208349440. Its totient is φ = 20428800000.

The previous prime is 79761599999. The next prime is 79761600001. The reversal of 79761600000 is 616797.

It is an interprime number because it is at equal distance from previous prime (79761599999) and next prime (79761600001).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79761600001) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 417599905 + ... + 417600095.

It is an arithmetic number, because the mean of its divisors is an integer number (415567152).

Almost surely, 2^79761600000 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 79761600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149604174720).

79761600000 is an abundant number, since it is smaller than the sum of its proper divisors (219446749440).

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

79761600000 is an equidigital number, since it uses as much as digits as its factorization.

79761600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 79761600000 in words is "seventy-nine billion, seven hundred sixty-one million, six hundred thousand".