78921216 has 200 divisors, whose sum is σ = 258458904. Its totient is φ = 23777280.

The previous prime is 78921197. The next prime is 78921217. The reversal of 78921216 is 61212987.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (12096) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78921217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 456106 + ... + 456278.

Almost surely, 2^78921216 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 78921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129229452).

78921216 is an abundant number, since it is smaller than the sum of its proper divisors (179537688).

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

78921216 is a wasteful number, since it uses less digits than its factorization.

78921216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 78921216 is about 8883.7613655478. The cubic root of 78921216 is about 428.9413583104.

The spelling of 78921216 in words is "seventy-eight million, nine hundred twenty-one thousand, two hundred sixteen".