79940651760 has 320 divisors, whose sum is σ = 291958992000. Its totient is φ = 20035289088.

The previous prime is 79940651741. The next prime is 79940651767. The reversal of 79940651760 is 6715604997.

It is a super-3 number, since 3×79940651760³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 79940651697 and 79940651706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79940651767) 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, 41015266 + ... + 41017214.

It is an arithmetic number, because the mean of its divisors is an integer number (912371850).

Almost surely, 2^79940651760 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 79940651760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145979496000).

79940651760 is an abundant number, since it is smaller than the sum of its proper divisors (212018340240).

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

79940651760 is a wasteful number, since it uses less digits than its factorization.

79940651760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 79940651760 in words is "seventy-nine billion, nine hundred forty million, six hundred fifty-one thousand, seven hundred sixty".