78744880 has 60 divisors (see below), whose sum is σ = 188425440. Its totient is φ = 30604032.

The previous prime is 78744877. The next prime is 78744923. The reversal of 78744880 is 8844787.

It is a super-3 number, since 3×78744880³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 78744880.

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 11 ways as a sum of consecutive naturals, for example, 109161 + ... + 109879.

It is an arithmetic number, because the mean of its divisors is an integer number (3140424).

Almost surely, 2^78744880 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 78744880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94212720).

78744880 is an abundant number, since it is smaller than the sum of its proper divisors (109680560).

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

78744880 is a wasteful number, since it uses less digits than its factorization.

78744880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 46.

The square root of 78744880 is about 8873.8311906414. The cubic root of 78744880 is about 428.6216546427.

The spelling of 78744880 in words is "seventy-eight million, seven hundred forty-four thousand, eight hundred eighty".