78916992 has 256 divisors, whose sum is σ = 278484480. Its totient is φ = 19169280.

The previous prime is 78916987. The next prime is 78916993. The reversal of 78916992 is 29961987.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78916993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502578 + ... + 502734.

It is an arithmetic number, because the mean of its divisors is an integer number (1087830).

Almost surely, 2^78916992 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 78916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139242240).

78916992 is an abundant number, since it is smaller than the sum of its proper divisors (199567488).

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

78916992 is a wasteful number, since it uses less digits than its factorization.

78916992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its digits is 489888, while the sum is 51.

The square root of 78916992 is about 8883.5236252289. The cubic root of 78916992 is about 428.9337056127.

The spelling of 78916992 in words is "seventy-eight million, nine hundred sixteen thousand, nine hundred ninety-two".