93778960 has 80 divisors (see below), whose sum is σ = 241895232. Its totient is φ = 33523200.

The previous prime is 93778957. The next prime is 93778969. The reversal of 93778960 is 6987739.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (93778969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52807 + ... + 54553.

Almost surely, 2^93778960 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 93778960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120947616).

93778960 is an abundant number, since it is smaller than the sum of its proper divisors (148116272).

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

93778960 is a wasteful number, since it uses less digits than its factorization.

93778960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The square root of 93778960 is about 9683.9537380142. The cubic root of 93778960 is about 454.3269201144.

It can be divided in two parts, 937 and 78960, that added together give a palindrome (79897).

The spelling of 93778960 in words is "ninety-three million, seven hundred seventy-eight thousand, nine hundred sixty".