85830080 has 56 divisors (see below), whose sum is σ = 233586528. Its totient is φ = 29426688.

The previous prime is 85830077. The next prime is 85830113. The reversal of 85830080 is 8003858.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16919 + ... + 21398.

It is an arithmetic number, because the mean of its divisors is an integer number (4171188).

Almost surely, 2^85830080 is an apocalyptic number.

85830080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85830080 is an abundant number, since it is smaller than the sum of its proper divisors (147756448).

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

85830080 is a wasteful number, since it uses less digits than its factorization.

85830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38341 (or 38331 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 85830080 is about 9264.4524932669. The cubic root of 85830080 is about 441.1095961520.

The spelling of 85830080 in words is "eighty-five million, eight hundred thirty thousand, eighty".