79300728 has 128 divisors (see below), whose sum is σ = 245145600. Its totient is φ = 23587200.

The previous prime is 79300721. The next prime is 79300747. The reversal of 79300728 is 82700397.

It is a super-2 number, since 2×79300728² = 12577210922659968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 79300692 and 79300701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79300721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86593 + ... + 87503.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 2^79300728 is an apocalyptic number.

79300728 is a gapful number since it is divisible by the number (78) 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 79300728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122572800).

79300728 is an abundant number, since it is smaller than the sum of its proper divisors (165844872).

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

79300728 is a wasteful number, since it uses less digits than its factorization.

79300728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 79300728 is about 8905.0956199246. The cubic root of 79300728 is about 429.6278156828.

The spelling of 79300728 in words is "seventy-nine million, three hundred thousand, seven hundred twenty-eight".