79961728 has 192 divisors, whose sum is σ = 216280800. Its totient is φ = 29030400.

The previous prime is 79961723. The next prime is 79961807. The reversal of 79961728 is 82716997.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (79961723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1310818 + ... + 1310878.

Almost surely, 2^79961728 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 79961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108140400).

79961728 is an abundant number, since it is smaller than the sum of its proper divisors (136319072).

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

79961728 is a wasteful number, since it uses less digits than its factorization.

79961728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its digits is 381024, while the sum is 49.

The square root of 79961728 is about 8942.1321842165. The cubic root of 79961728 is about 430.8182149425.

The spelling of 79961728 in words is "seventy-nine million, nine hundred sixty-one thousand, seven hundred twenty-eight".