85798080 has 168 divisors, whose sum is σ = 304946304. Its totient is φ = 22141440.

The previous prime is 85798051. The next prime is 85798081. The reversal of 85798080 is 8089758.

It is a super-2 number, since 2×85798080² = 14722621063372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85798081) 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 23 ways as a sum of consecutive naturals, for example, 2767665 + ... + 2767695.

Almost surely, 2^85798080 is an apocalyptic number.

85798080 is a gapful number since it is divisible by the number (80) 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 85798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152473152).

85798080 is an abundant number, since it is smaller than the sum of its proper divisors (219148224).

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

85798080 is an equidigital number, since it uses as much as digits as its factorization.

85798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 41 counting only the distinct ones).

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

The square root of 85798080 is about 9262.7253009036. The cubic root of 85798080 is about 441.0547697568.

85798080 divided by its sum of digits (45) gives a cube (1906624 = 124³).

The spelling of 85798080 in words is "eighty-five million, seven hundred ninety-eight thousand, eighty".