93778080 has 96 divisors (see below), whose sum is σ = 322273728. Its totient is φ = 22732800.

The previous prime is 93778057. The next prime is 93778099. The reversal of 93778080 is 8087739.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3601 + ... + 14160.

It is an arithmetic number, because the mean of its divisors is an integer number (3357018).

Almost surely, 2^93778080 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 93778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161136864).

93778080 is an abundant number, since it is smaller than the sum of its proper divisors (228495648).

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

93778080 is a wasteful number, since it uses less digits than its factorization.

93778080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17790 (or 17782 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 93778080 is about 9683.9083019203. The cubic root of 93778080 is about 454.3254990105.

The spelling of 93778080 in words is "ninety-three million, seven hundred seventy-eight thousand, eighty".