79727760 has 160 divisors (see below), whose sum is σ = 313908480. Its totient is φ = 18220032.

The previous prime is 79727749. The next prime is 79727783. The reversal of 79727760 is 6772797.

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 31 ways as a sum of consecutive naturals, for example, 12484 + ... + 17756.

It is an arithmetic number, because the mean of its divisors is an integer number (1961928).

Almost surely, 2^79727760 is an apocalyptic number.

79727760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79727760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156954240).

79727760 is an abundant number, since it is smaller than the sum of its proper divisors (234180720).

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

79727760 is a wasteful number, since it uses less digits than its factorization.

79727760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 45.

The square root of 79727760 is about 8929.0402619766. The cubic root of 79727760 is about 430.3976131117.

The spelling of 79727760 in words is "seventy-nine million, seven hundred twenty-seven thousand, seven hundred sixty".