79644960 has 288 divisors, whose sum is σ = 297198720. Its totient is φ = 19353600.

The previous prime is 79644959. The next prime is 79644989. The reversal of 79644960 is 6944697.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1121725 + ... + 1121795.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^79644960 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 79644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

79644960 is an abundant number, since it is smaller than the sum of its proper divisors (217553760).

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

79644960 is a wasteful number, since it uses less digits than its factorization.

79644960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 79644960 is about 8924.4025010081. The cubic root of 79644960 is about 430.2485672996.

The spelling of 79644960 in words is "seventy-nine million, six hundred forty-four thousand, nine hundred sixty".