79985952 has 162 divisors, whose sum is σ = 249672969. Its totient is φ = 24284160.

The previous prime is 79985933. The next prime is 79985959. The reversal of 79985952 is 25958997.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 73205136 + 6780816 = 8556^2 + 2604^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6324.

Its product of digits (2041200) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (79985959) 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 26 ways as a sum of consecutive naturals, for example, 2580177 + ... + 2580207.

Almost surely, 2^79985952 is an apocalyptic number.

79985952 is a gapful number since it is divisible by the number (72) 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 79985952

79985952 is an abundant number, since it is smaller than the sum of its proper divisors (169687017).

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

79985952 is a wasteful number, since it uses less digits than its factorization.

79985952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 53 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The square root of 79985952 is about 8943.4865684475. The cubic root of 79985952 is about 430.8617152812.

The spelling of 79985952 in words is "seventy-nine million, nine hundred eighty-five thousand, nine hundred fifty-two".