78389120 has 64 divisors (see below), whose sum is σ = 191017440. Its totient is φ = 30750720.

The previous prime is 78389119. The next prime is 78389123. The reversal of 78389120 is 2198387.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×78389120² = 12289708268748800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78389123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 32765 + ... + 35075.

Almost surely, 2^78389120 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 78389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95508720).

78389120 is an abundant number, since it is smaller than the sum of its proper divisors (112628320).

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

78389120 is a wasteful number, since it uses less digits than its factorization.

78389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 78389120 is about 8853.7630417806. The cubic root of 78389120 is about 427.9751929023.

The spelling of 78389120 in words is "seventy-eight million, three hundred eighty-nine thousand, one hundred twenty".