78774912 has 192 divisors, whose sum is σ = 246636000. Its totient is φ = 24053760.

The previous prime is 78774911. The next prime is 78774919. The reversal of 78774912 is 21947787.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (197568) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (78774911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1291362 + ... + 1291422.

Almost surely, 2^78774912 is an apocalyptic number.

78774912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78774912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123318000).

78774912 is an abundant number, since it is smaller than the sum of its proper divisors (167861088).

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

78774912 is a wasteful number, since it uses less digits than its factorization.

78774912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 78774912 is about 8875.5231958460. The cubic root of 78774912 is about 428.6761374630.

The spelling of 78774912 in words is "seventy-eight million, seven hundred seventy-four thousand, nine hundred twelve".