78693120 has 432 divisors, whose sum is σ = 321414912. Its totient is φ = 18247680.

The previous prime is 78693113. The next prime is 78693149. The reversal of 78693120 is 2139687.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3421429 + ... + 3421451.

It is an arithmetic number, because the mean of its divisors is an integer number (744016).

Almost surely, 2^78693120 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 78693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160707456).

78693120 is an abundant number, since it is smaller than the sum of its proper divisors (242721792).

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

78693120 is a wasteful number, since it uses less digits than its factorization.

78693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 78693120 is about 8870.9142708066. The cubic root of 78693120 is about 428.5277212570.

The spelling of 78693120 in words is "seventy-eight million, six hundred ninety-three thousand, one hundred twenty".