79865760 has 96 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 19657728.

The previous prime is 79865741. The next prime is 79865767. The reversal of 79865760 is 6756897.

79865760 = T₁₅₃₅ + T₁₅₃₆ + ... + T₁₅₉₉.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (79865767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160 + ... + 12639.

It is an arithmetic number, because the mean of its divisors is an integer number (2822400).

Almost surely, 2^79865760 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 79865760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

79865760 is an abundant number, since it is smaller than the sum of its proper divisors (191084640).

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

79865760 is a wasteful number, since it uses less digits than its factorization.

79865760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12830 (or 12822 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 79865760 is about 8936.7645151923. The cubic root of 79865760 is about 430.6457936486.

The spelling of 79865760 in words is "seventy-nine million, eight hundred sixty-five thousand, seven hundred sixty".