79528020 has 288 divisors, whose sum is σ = 283336704. Its totient is φ = 16473600.

The previous prime is 79528019. The next prime is 79528049. The reversal of 79528020 is 2082597.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2565405 + ... + 2565435.

It is an arithmetic number, because the mean of its divisors is an integer number (983808).

Almost surely, 2^79528020 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 79528020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141668352).

79528020 is an abundant number, since it is smaller than the sum of its proper divisors (203808684).

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

79528020 is a wasteful number, since it uses less digits than its factorization.

79528020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 79528020 is about 8917.8483952128. The cubic root of 79528020 is about 430.0378910183.

The spelling of 79528020 in words is "seventy-nine million, five hundred twenty-eight thousand, twenty".