85880300 has 72 divisors (see below), whose sum is σ = 205580592. Its totient is φ = 30880000.

The previous prime is 85880297. The next prime is 85880303. The reversal of 85880300 is 308858.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85880297) and next prime (85880303).

It is not an unprimeable number, because it can be changed into a prime (85880303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110714 + ... + 111486.

It is an arithmetic number, because the mean of its divisors is an integer number (2855286).

Almost surely, 2^85880300 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 85880300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102790296).

85880300 is an abundant number, since it is smaller than the sum of its proper divisors (119700292).

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

85880300 is a wasteful number, since it uses less digits than its factorization.

85880300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 892 counting only the distinct ones).

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

The square root of 85880300 is about 9267.1624567610. The cubic root of 85880300 is about 441.1956118580.

The spelling of 85880300 in words is "eighty-five million, eight hundred eighty thousand, three hundred".