78821160 has 128 divisors (see below), whose sum is σ = 260098560. Its totient is φ = 18950400.

The previous prime is 78821131. The next prime is 78821191. The reversal of 78821160 is 6112887.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 278379 + ... + 278661.

It is an arithmetic number, because the mean of its divisors is an integer number (2032020).

Almost surely, 2^78821160 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 78821160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130049280).

78821160 is an abundant number, since it is smaller than the sum of its proper divisors (181277400).

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

78821160 is a wasteful number, since it uses less digits than its factorization.

78821160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 78821160 is about 8878.1281810976. The cubic root of 78821160 is about 428.7600116094.

The spelling of 78821160 in words is "seventy-eight million, eight hundred twenty-one thousand, one hundred sixty".