79505760 has 96 divisors (see below), whose sum is σ = 253985760. Its totient is φ = 20901888.

The previous prime is 79505749. The next prime is 79505761. The reversal of 79505760 is 6750597.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79505761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33906 + ... + 36174.

It is an arithmetic number, because the mean of its divisors is an integer number (2645685).

Almost surely, 2^79505760 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 79505760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126992880).

79505760 is an abundant number, since it is smaller than the sum of its proper divisors (174480000).

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

79505760 is a wasteful number, since it uses less digits than its factorization.

79505760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 79505760 is about 8916.6002489738. The cubic root of 79505760 is about 429.9977645458.

The spelling of 79505760 in words is "seventy-nine million, five hundred five thousand, seven hundred sixty".