79085088 has 144 divisors (see below), whose sum is σ = 246781080. Its totient is φ = 23912448.

The previous prime is 79085081. The next prime is 79085089. The reversal of 79085088 is 88058097.

It can be written as a sum of positive squares in 4 ways, for example, as 62536464 + 16548624 = 7908^2 + 4068^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×79085088² = 12508902287935488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (79085081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141706 + ... + 142262.

Almost surely, 2^79085088 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 79085088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123390540).

79085088 is an abundant number, since it is smaller than the sum of its proper divisors (167695992).

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

79085088 is a wasteful number, since it uses less digits than its factorization.

79085088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 79085088 is about 8892.9797031141. The cubic root of 79085088 is about 429.2380376521.

It can be divided in two parts, 7908 and 5088, that added together give a square (12996 = 114²).

The spelling of 79085088 in words is "seventy-nine million, eighty-five thousand, eighty-eight".