93813750 has 120 divisors (see below), whose sum is σ = 263165760. Its totient is φ = 24120000.

The previous prime is 93813737. The next prime is 93813751. The reversal of 93813750 is 5731839.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93813751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 348616 + ... + 348884.

It is an arithmetic number, because the mean of its divisors is an integer number (2193048).

Almost surely, 2^93813750 is an apocalyptic number.

93813750 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 93813750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131582880).

93813750 is an abundant number, since it is smaller than the sum of its proper divisors (169352010).

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

93813750 is a wasteful number, since it uses less digits than its factorization.

93813750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 93813750 is about 9685.7498419069. The cubic root of 93813750 is about 454.3830950439.

It can be divided in two parts, 9381 and 3750, that added together give a palindrome (13131).

The spelling of 93813750 in words is "ninety-three million, eight hundred thirteen thousand, seven hundred fifty".