78994944 has 240 divisors, whose sum is σ = 272363520. Its totient is φ = 21565440.

The previous prime is 78994891. The next prime is 78994967. The reversal of 78994944 is 44949987.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999897 + ... + 999975.

It is an arithmetic number, because the mean of its divisors is an integer number (1134848).

Almost surely, 2^78994944 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 78994944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136181760).

78994944 is an abundant number, since it is smaller than the sum of its proper divisors (193368576).

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

78994944 is a wasteful number, since it uses less digits than its factorization.

78994944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 78994944 is about 8887.9099905433. The cubic root of 78994944 is about 429.0748887144.

The spelling of 78994944 in words is "seventy-eight million, nine hundred ninety-four thousand, nine hundred forty-four".