993779712 has 112 divisors (see below), whose sum is σ = 2945008080. Its totient is φ = 331186176.

The previous prime is 993779681. The next prime is 993779713. The reversal of 993779712 is 217977399.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993779713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218938 + ... + 223430.

It is an arithmetic number, because the mean of its divisors is an integer number (26294715).

Almost surely, 2^993779712 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 993779712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472504040).

993779712 is an abundant number, since it is smaller than the sum of its proper divisors (1951228368).

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

993779712 is an equidigital number, since it uses as much as digits as its factorization.

993779712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4498 counting only the distinct ones).

The product of its digits is 1500282, while the sum is 54.

The square root of 993779712 is about 31524.2717917480. The cubic root of 993779712 is about 997.9222566391.

The spelling of 993779712 in words is "nine hundred ninety-three million, seven hundred seventy-nine thousand, seven hundred twelve".