85079808 has 180 divisors, whose sum is σ = 277497528. Its totient is φ = 25712640.

The previous prime is 85079807. The next prime is 85079809. The reversal of 85079808 is 80897058.

It is an interprime number because it is at equal distance from previous prime (85079807) and next prime (85079809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85079803) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227910 + ... + 228282.

Almost surely, 2^85079808 is an apocalyptic number.

85079808 is a gapful number since it is divisible by the number (88) 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 85079808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138748764).

85079808 is an abundant number, since it is smaller than the sum of its proper divisors (192417720).

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

85079808 is a wasteful number, since it uses less digits than its factorization.

85079808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 389 counting only the distinct ones).

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

The square root of 85079808 is about 9223.8716383089. The cubic root of 85079808 is about 439.8205328695.

The spelling of 85079808 in words is "eighty-five million, seventy-nine thousand, eight hundred eight".