85738800 has 240 divisors, whose sum is σ = 321050880. Its totient is φ = 19153920.

The previous prime is 85738787. The next prime is 85738801. The reversal of 85738800 is 883758.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×85738800² = 14702283650880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85738801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495514 + ... + 495686.

It is an arithmetic number, because the mean of its divisors is an integer number (1337712).

Almost surely, 2^85738800 is an apocalyptic number.

85738800 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 85738800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160525440).

85738800 is an abundant number, since it is smaller than the sum of its proper divisors (235312080).

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

85738800 is a wasteful number, since it uses less digits than its factorization.

85738800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 85738800 is about 9259.5248258212. The cubic root of 85738800 is about 440.9531678303.

The spelling of 85738800 in words is "eighty-five million, seven hundred thirty-eight thousand, eight hundred".