79745760 has 144 divisors (see below), whose sum is σ = 275970240. Its totient is φ = 20966400.

The previous prime is 79745749. The next prime is 79745773. The reversal of 79745760 is 6754797.

79745760 is a `hidden beast` number, since 7 + 9 + 74 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113410 + ... + 114110.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 2^79745760 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 79745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137985120).

79745760 is an abundant number, since it is smaller than the sum of its proper divisors (196224480).

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

79745760 is a wasteful number, since it uses less digits than its factorization.

79745760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 79745760 is about 8930.0481521658. The cubic root of 79745760 is about 430.4300007188.

The spelling of 79745760 in words is "seventy-nine million, seven hundred forty-five thousand, seven hundred sixty".