79724736 has 280 divisors, whose sum is σ = 292587680. Its totient is φ = 21026304.

The previous prime is 79724717. The next prime is 79724783. The reversal of 79724736 is 63742797.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 79724691 and 79724700.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6132666 + ... + 6132678.

It is an arithmetic number, because the mean of its divisors is an integer number (1044956).

Almost surely, 2^79724736 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 79724736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146293840).

79724736 is an abundant number, since it is smaller than the sum of its proper divisors (212862944).

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

79724736 is an equidigital number, since it uses as much as digits as its factorization.

79724736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 25 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 79724736 is about 8928.8709252626. The cubic root of 79724736 is about 430.3921715155.

The spelling of 79724736 in words is "seventy-nine million, seven hundred twenty-four thousand, seven hundred thirty-six".