85380480 has 256 divisors, whose sum is σ = 311140800. Its totient is φ = 22394880.

The previous prime is 85380469. The next prime is 85380487. The reversal of 85380480 is 8408358.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85380487) 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 31 ways as a sum of consecutive naturals, for example, 1399650 + ... + 1399710.

Almost surely, 2^85380480 is an apocalyptic number.

85380480 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 85380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155570400).

85380480 is an abundant number, since it is smaller than the sum of its proper divisors (225760320).

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

85380480 is an frugal number, since it uses more digits than its factorization.

85380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85380480 is about 9240.1558428416. The cubic root of 85380480 is about 440.3380322495.

The spelling of 85380480 in words is "eighty-five million, three hundred eighty thousand, four hundred eighty".